What are some ‘power of friendship’ shows (anime or non-anime) you can recommend me? I’m looking for things to watch to recover from making this video lol. EDIT: for those of you wondering, the power of friendship of the brain is 5.11. I am bummed I didn't think to calculate that in the video -_-
oo I know nothing about Fairy Tail, is it power of friendship-y? I didn't get that vibe from the pictures I saw but obviously thats a poor way to judge lol
@@not_David Yes. It is basically all about power of Friendship. And it has ships......... though only occasionally the kind seen in One Piece ;) I should warn you that it's long, but compared to OP it is not.
What I'm getting from this video is that friendship depends on some time spent in proximity to each other. Yet, we've never spent any time together. I see how it is.
15:54 I take a break from working on my thesis proposal to watch a goofy anime video, and all of a sudden the video is about my thesis topic :0 Great video! That’s what I love about network science - asking how “things are related to other things” can reveal so many interesting similarities.
It's actually incredible how you achieved that I watched for 16 minutes without understanding anything, just until I got my educational part, thank you!🎉
@@Fenhum I definitely didn't think so but apperently? That's okay, everyone who has watched it has been incredibly receptive to it so I am okay with that :) Besides, the YT algorithm works in wierd ways -- the Uhmms video sat at 3K views for a month before the algorithm got to it and then it took off in a week lol.
I made graphs for supports for a couple of Fire Emblem games, and they can be pretty cool to look at. You can sometimes see little 'factions' emerge in the various armies.
Oooh I've only played the FE on the gameboy advanced (I am old -_-) but I feel like FE would be a really good series to do that on. You should make a video on it if you havn't already, I'd love to see it!
8:17 there are 6 seasons of Jojo bizarre adventures, but the first season has both part 1 and 2, and part 3 is divided on 2 different seasons, and from there, each part had just one season
oh yeah for sure (though I've heard others argue there are more). But what I think is interesting is that the network agrees that part 1 and 2 should be classified as part of the same community, where as the splitting of part 3 into two seasons is a bit arbitrary (likely due to production) and that's also mirrored in the network as they are not split apart there.
@@not_David Probably because of how small Part I's roster is... just Erina and Speedwagon also appearing in Part II means a large percentage of part I characters are also part of the Part II cluster and almost all have links to members of the Part II cluster. Plus, since there are so few Part I episodes, people like Jonathan, Zepelli appearing in one or two flashbacks means a significant portion of their appearances are shared with the Part II cluster, making them also part of the part II cluster. That's my speculation without seeing the dataset itself.
@not_David It takes a bit of fortitude to get through the show, it's got Old Anime syndrome with the drawn out power up scenes and fights The TYBW is crazy 11/10
Ok I feel like I want to elaborate, because just typing "production quality gud" is a bit cheap: Everything about this video feels perfect to me. The script is very well thought out, even with some of the jokes scrapped (tho I'd like to hear them if I'm being honest). The visuals are obviously amazing, the style is a very pleasant mix between clean/professional and a certain artistic quality that fits the character of the entire work very well and that I personally really like. The sound design, while often overlooked in educational videos, is absolutely on point in my opinion. The music is incorporated nicely while not being overwhelming. And most importantly, especially for hearing-impaired folks like me: I can understand every word you say. That's obviously at least partly due to you speaking very clear and with a pacing that's easily understood by even non-native speakers. But beyond that I feel like the way you edited your voice (with compression, eq and what have you) is perfect for this kind of educational content. I see (or rather hear) more and more content creators in recent years process their voice to such an extent that there's almost only bass left, which might fit the character of some radio shows but it makes for a very unpleasant hearing experience for people who have hearing loss in the higher frequencies (upward of 1-1.5kHz, which is pretty much everyone with hearing loss). Ok so now I've went on quite the rant, which wasn't really my intention but as this issue is very near and dear to my heart I wanted to express my appreciation of how you approach your production. Also there are actual not-auto-generated English subtitles, which I just now noticed because I didn't at all need them in order to be able to understand you :D That makes the entire accessibility thing even better. So yeah, kudos to you and I'm very excited to keep supporting you and your work!
Amazing comment, thank you :) I do take accessability very seriously and I'm still not perfect at it, but I do my best. I think non-auto generated subtitles are very important because I can add a bit of emphasis or something to carry the tone across even if someone can't hear a thing. There is room for improvement though (especially with all my spelling mistakes haha). Again though, thank you :)
My simplistic thought about the small network factor would be the main character focus that results in a few constant noies which are always involved for most connections (read: episodes) - would be interesting so see how a random network behaves when introducing such largely consitent nodes and if it meaninfully changes type. Maybe the same with the brain regarding the left-right corpus callosum interconnect?
That's what I originally thought and wasn't even going to do the small worldness because I thought it would be trivial because of that. However, because of the math I did to make the friendshipscores between 0 and 1 (details in description), and then the cutoff threshold, its actually no longer true -- the main character is often not the most popular character in the show because of this. So theres something else that is driving the smallness of the network.
Absolutely phenomenal video, super interesting and an engaging way to learn. I study mechanical engineering but your channel has inspired me to take a graph theory elective in my fourth year!
My thoughts: 0- Congrats for all the work ! 1- I'm surprised you did not picked Fairy Tail which is infamous for its power of friendship. 2- Also I'm pretty sure Zoro and Ace should share a connection (see the end of Alabasta) but I get why (the threshold). 3- I also see a big wich is "enemies". Let's say Luffy and Don Flamigo, according to the graph they should be good friends.... quite the opposite. 4- You should read Bleach, not watch nor drink it. 5- For the brain, what were the data? The cross "luminosity", the co-frequency, something else ?
Thanks for your thoughts! 0: Thank you :) 1: I didn't know anything about Fairy Tail but I've seen some people mention that as well, it's certainly much higher on my list now 2: Exactly, they don't show up together enough to get a link to pass the threshold 3: Yeah for sure. "Friends" here should probably be more like "are they aquiainted". Maybe this would be a first step to weed out all the connections to know who to focus on, but to get negative relations you'd need to go into the show most likely. That being said, in these shows the enemies do often turn out to be friends later on lol 4: Don't worry I always read the warning labels whenever handling Bleach 5: It was Blood Oxygen Level Dependant signals from fMRI, essentially just how oxygenated the blood is which is taken as a proxy for neural activity
This is so cool. I genuinely think i would have done better in math class if I was taught the things I could do rather than rote memorization of formulas. I made sure I understood ratios and percentages because I knew where to use those things IRL. I've been talking with various people recently about education and social media and I just hope videos like this get out there and inspire kids to learn.
my favourite kind of comments because this was it exactly for me. I did super poorly in high school because of this but it wasn't until I got to uni where my profs showed me how super creative math/science can be. I try to take that with me when making these videos. Thank you :)
While anime is not my cup of tea, you consistently kept my attention with absolutely great visuals, interesting theory and good humor throughout. The sudden switch to the brain to show the applicability of network theory was a real treat. I love the videos, keep them coming!
Thank you :) Part of the reason this video took so long to make was because I wanted to make sure the script did not alienate people who havn't watched anime. I'm glad to see the effort worked for a lot of people.
Great video! Loved the animation, your application of the rigorous scientific process and the super neat way you taught us many of these techniques and your interpretation of the results Thanks for taking the time and effort to make this and putting in all this love into it! Had two follow up questions - - 1. Which characters were on the different longest path in the different shows? - 2. What was the Power of Friendship of the brain?
Thank you :) 1. Great catch! Its not unique. Theres actually quite a llootttt of characters whose distance is 5. I suspect that is due to the 'hub' characters like luffy who connect a lot of other nodes. I opened my graph and I think one example would be 'Charlotte Basskarte' and 'Shandia'. I actually have no clue who those are, but thats because the largest distances are statistically going to be between the characters that show up the least. 2. I was actually kicking myself the night before I didnt think of it. I actually just calculated it and its really low at 0.5. I kind of suspect that I maybe did something wrong in a rush, or its possible that I need to rethink the break threshold. The brain network is different in that you can have negative links (brain activity in one region is anti correlated with other regions). Thats very common and could mess up how I take the threshold value because in the anime network it can only be positive.
Oh, this video was so delightful as always! I have to admit, some of the brain stuff is slightly beyond my reach, but the basis of it all was explained so clearly I am fairly sure I still got the gist (and man it really is incredibly interesting) And as usual, the editing and animation are absolutely top notch - I loved the comic book style effects you chose (and it's always fun to see a Persona 5 cut-in, hehe)
It wasn't intentional haha I am treally trying to keep these shorter but the topics have become more complex (that's also why they take so long to make). But still, thank you :)
@@not_David Now that I've rewatched it again, I noticed your point about how network evolve over time. I was wondering if you have more reading materials for that? I am interested in how path finding algorithm such as google map direction works in evolving traffic and how to account for it during route calculations
@@YandiBanyu Sadly there really isn't any one reading material for this. It is very very problem specific. The method I used is what is often done in neurophysics, where we often call it 'Dynamic Functional Connectivity'. There is a wikipedia page for that which could be a good starting point, but how well (or not well) that extends to other systems (e.g., traffic flow) I don't know (and suspect it doesn't).
@@not_David oof, yeah. I've read a couple of wikipedia pages, specifically on the topic of temporal network (or time-varying network) and dynamic network analysis but both only reference further study on spread of events, which does make sense, but I just wonder if there is further reading for path planning problems.
Please do a follow up where you dive even deeper into the fun stuff since you went to all the trouble to gather all those data about the episodes in every character! The twist was really fun but I legit was sad that you weren't going to talk about the most fun clusters or connections you found in each, or trying to differentiate friends and enemies via some sort of faction tagging Anyway, loved the video!
Thank you! I was actually thinking of doing some indepth dives on a seperate channel (since as you said I already have them). I had a section in the video where I did do that but I felt it alienated people who didn't know the shows. Some of those things are possible, but the friends vs enemies thing is difficult. By which i mean, finding the 'sign' of a friendship is a genuinely difficult problem in social network analysis. Often it is very easy to find that there is a relationship but finding if its a positive or negative relationship is really difficult. I reckon i could also talk about that if I made a video like that.
@@not_David i mean, this video would alienate anyone who doesnt know the shows and doesnt follow you since you only get to the educational part in the last third. its not gonna be a perfect marriage, the weebs will not get the math stuff and the nerds might not get the weeb stuff.
Amazing as usal! My favourite maths youtuber and 80k crossover was the best christmas present i could have gotten, an applied mathematician is long overdue on their podcast, hope this is them turning their heads towards that...
Yes! Although im still catching up with the series (and actually making network spoiled some things for me... lets just say I thought T.D.Law was going to be like a one off side character in sabaody and then he kept popping up in my graph metrics -_- I don't know how he is involved and what he does but now I know hes certainly not a side character)
I love how, not only is this an incredibly cool and interesting video, but it also contains a really clear love of the "edutainment" community of video creators on UA-cam In terms of my own random associations, this feels a lot like a concept BDG would investigate in Unraveled, though the execution and presentation is still very much your own. Fantastic work
Wouldnt it make more sense to run the (non modularity) calculations for the communities aswell and then using the average of all those calculations as x and the calculation of the whole network as y and the final friendship score = modularity • x + (1-modularity) • y Feels like takes into account that very strong friendships might be present in a community but communities themselves might be more isolated from eachother. A handful of close friends is more powerful than a thousand acquaintances
I was thinking about doing something analogous to this. Or phrase differently -- should the score for jojo be the score for the whole network or the individual communities averaged together? My reasoning was that I wanted the 'power of friendship' to reflect the *anime*. Like if someone really likes 'power of friendship shows' and you know that the last season of a show has the most power of friendship you've ever seen, is it still a good recommendation for that person who would have to sit through a lot of 'non-power of firnedship' just to get to the good stuff? I don't think there is a right or wrong answer here, but I opted to treat the shows as a whole instead of as a sum of their parts.
networks are truly fascinating in how they can make a meaningful image from dots. Even if meaningful, they feel random until put on a plot or network. I love statistics for this reason too.
I briefly woke up to get some water at 3am and saw this uploaded. I don't have the time to watch it for now, but just know I liked the vid and commenting to try and help it get recommended more. Can't wait to watch this later! :D
This video is so good what the hell Networks have been a fascination of mine for a little while and featured extensively in some personal projects of mine, but I've only ever actually covered network adjacent subjects in my education, so this stuff just tickles my brain endlessly. I could listen to you talk about networks all day :)
thanks so much :) I never had it pop up in my studies so when I was first introduced to it I was slightly intrigued but then someone soon after introduced me to a blog where the authour was trying to identify the main character of star wars using network theory and I was blown away. That blog inspired a lot of this video in fact (at least thematically).
@not_David aaand that's a Google search and a bookmark for some light reading later! Is it the one by Evelina Gabasova? Data science content is such a great niche on UA-cam, and everyone once in a while a nerdy-ass video will absolutely blow up, and I know you've got the sauce. Keep it up! I'll be on your patreon :)
Yes the one by Evaline Gabasova, it was really good! I'd also recommend Networks an Introduction by Mark Newmann if you can find it. The first third of that book is a math-free look at some of the things networks can be used for. Its from the early 2000s but it inspired the youtube subcriber video I made. Then it goes into all the math of how to do all that stuff.
Well, third comment on this video. I've dabbled in graph theory in a bioinformatics class and it's really cool to see similar concepts being explored on this channel. It may be another area you could look into for more graph algorithms and approaches if you're interested! The context for me was identifying protein-protein interaction clusters by seeing how often they come up together which is basically finding groups of friends in this context, very cool! I dropped the class for now so I'm actually not that suited to give you futher reading but I know there is more out there in this field! Cheers!
actually protein interaction networks is something ive really been wanting to look into a bit more. What little I've seen in that area has been mindblowingly complex
@@not_Davidif you decide to dig into it ping me here and I can dig up some references, slides and stuff as starting points for you from my course which will probably save you the work of getting an overview which I find the hardest part when getting started with a topic:)
I usually don't write youtube comments... But I just wanted to tell how unbelievably good this video is. The graphic design, the animations, the science... I have absolutely no interest in anime, but I still loved every second of this video - well done!
Thank you! That genuinely means a lot to me. Part of the reason this took as long as it did to make was to make the script understandable/enjoyable even if you havn't watched the anime. There are plenty of in-jokes for those that do, but my goal was to make it transparent even if you don't (I succeed in some places better than others admittedly).
@@not_David The humor definitely worked for me! I got a lot of the jokes, and for others you could just guess the punch line by the way you wrote/delivered them. Great stuff!
Fantastic video. Very very well made. The topic it cool, the animations are well made, the jokes are super, the references makes me nostalgic, the integers shown with two decimal places precision are precise 🤷♂😂. I loved it. I might have to look up some network algorithms, the video made me think about how to do these computations not to think of doing them efficiently. 👍
I was under the impression that for JoJo - Season 1 is part 1 and 2 - Season 2 and 3 are both part 3 - Season 4 is part 4 - Season 5 is part 5 - Season 6 is part 6
Fantastic video! As an anime fan and a fan of your videos, this was a super fun watch. I do wonder a bit about how you're scoring friendship strength. Particularly in that there are characters who have strong friendships as a foundational aspect of their origin story, but that are separated from these past friends and so we don't see them in the show but they are referenced. Also, to echo what I read in some comments here, a lot of the friendship building comes in the filler episodes. But regardless, this was an entertaining watch! And I learned some stuff I didn't already know about networks :)
Regarding your first point -- for sure, this is definitely a (very) rough approximation (hence 3:33). It's entirely possible that in this particular example (i.e., fictional characters) one could get a more nuanced view. But that would also raise as many questions as to how one should quantify the friendship score and I suspect it will introduce some subjectivity. And that is actually a real problem that real world social network researchers face, its just that topic in and of itself would be like a 30 minute video on its own lol
At one point in the history of the script I did do a more indepth dive into each network one by one but I felt it really would only make sense to viewers who knew the anime, where as I was trying to write this so it would be understandable even without having seen the shows. I was thinking of maybe going a bit more indepth into them on the second channel but we'll see if I have the time
Interestingly, there is an entire network in the mathematics community made for basically fun. There was this mathematician named Paul Erdos who published more papers than any other mathematician in history (around 1500) and collaborated with around 500 colleagues. Thus a person's "Erdos number" is the distance through collaborations of that person to Erdos himself
so what is the not David Power of Friendship index of the brain network? For note 1: One idea I have is to divide N by max(M1, M2) or min(M1, M2), where Mi is the number of episodes between the first episode that character i appeared and the latest episode of the show. However, that will result in an unequal treatment of one-off characters that appear later on in the show vs one-off characters that appear early on in the show, so it's probably not that great of an idea.
this is actually what I did originally! There are ways to augment it but inevitably I ran into the same problem -- when you have main characters (like naruto) that show up in the vast majority of the episodes, they just get connected to everyone, and especially with the intervals they end up getting really strong connections to people they met like 2 or 3 times.
i know you put a lot of effort into this, so i wanted to point out a couple of visual effects i loved :D 1:00 the dot matrix to the right 1:09 literally everything about this, the subtle wave, the chromatic aberration, however you changed the strength of the dots 1:37 the hat 3:12 i hope your computer enjoyed rendering that one 3:46 lovely compositing 5:37 the change in the shadow angle 6:50 car 9:39 just really nice 11:39 erdos feeling left out :( 12:10 the clouds 14:16 juicy ty for the great vid eric
This was such a nice comment, it left a small tear in my eye haha. I was having trouble sleeping (someone in the street below yelled and woke me up 6___6) and I was listening to the final fantasy 9 song 'you are not alone' randomly and was reading this and it was such a mood holy moly. Thank you :')
this is great. but considering a episodes have different scenes not necessarily only one it would maybe be better to analyze subtitle to so which characters are in a scene together and build a friendship network of that. maybe the cutoff set may bring out the similar result but it would be interesting to compare. also thing to consider is that power of friendship anime is basically shonen anime. so there are gona be fights and maybe protagonist, anatagonist. and others need to be accounted for.
ooo thats a good question. Now that I think of it, I suspect in those cases it would be less accurate. What you said can happen in anime as well, but the typical anime episode is substantially shorter than a GoT episode and so A and B plots are not as frequent, and that could then be accounted for using the threshold. In GoT, A and B plots likely happen together over many episodes and so I suspect it would meld a lot of unrelated point. interestingly this is actually the same problem in neurosci. The length of the episode is essentially your time resolution, and some methods of recording brain data have much worse time resolution than others so this is something you have to keep in mind
Not sure how much of an impact this has large-scale, but it's interesting to me that this will give false friendship values for characters who appeared in the same episode together, even if they never appear in the same scene together - the most obvious example of this being A-plot characters sharing episodes with B-plot characters.
That is entirely a possibility. That's more or less what the cutoff is trying to account for. If two sets of characters appear together because of A-plot and B-plot stuff, and it happens once then they likely won't pass the threshold. If it keeps happening then that is often because they are in fact related somehow, but its not necessarily true. I admit though, I can't really think of an example where two long running side-by-side stories are occuring, but the characters between them are not aware of each other or don't become aware of each other... but I'm sure it happens.
I had a philosophy class teacher who had published a paper on exactly that, about some tricks on how to make them and an analysis of the results on french science-fiction. It's in french, though: Yannnick Rochat and Mathieu Triclot, 2017. In any case, glad to see more interesting in this technique :D
time to put my canadian french to practice! Thank you for sharing I'm always interested in similar work to this because I can see how I could have done it differently/better
thank you :) I was a bit bummed at first but I've been really enjoying the supportive messages people have been leaving. It's been its own kind of power of friendship thing lol
I'm glad you enjoyed it :) I put a lot of effort into trying to write the script to not alienate people who haven't seen the shows so I'm super happy to hear that.
7:27 I think for Dragon Ball it’s because there’s only like 3 characters that play a role in every part of Dragon Ball. Quick count is Goku, obviously, Krillin, and Bulma. There are arguments to be made for characters like Roshi, Yamcha, and Chi Chi, who appear in nearly every part of the series, but they end up not being important later on so their appearances are more treated like cameos. While shows like One Piece and Naruto create a cast that survive through each arc and do important things in each arc keeps their numbers higher.
hmm interesting. I noticed your example used only Dragon Ball characters but I do include DBZ, DBGT, DBS (daima came out after I did my analysis). Were you just using those as an example or do you think it extends generally?
@@not_DavidI was just using Dragon Ball characters because they are the only ones that appear in Dragon Ball, Z, and Super. People like Vegeta or Trunks don’t appear in the original Dragon Ball, it’s a backwards compatibility thing. Goku, Krillin, and Bulma go through the entire series more or less each acquiring the same connections, so they’re kinda treated like one character. If people like Yamcha and Tien kept up in fighting strength with Goku, I think it would be more like One Piece or Naruto, where they have a big team that are important the entire time. It’s like if Naruto’s characters like Rock Lee and Might Guy fall off in power and would’ve not been able to make any impact in the Ten Tails arc.
@@friggy1899 ahhh sorry yes I see now. Yeah I think that's probably not too far off the mark. For me my reasoning was, I think, somewhat similar in spirit. While Jojo is very explicitly seperated into parts, I think dragon ball does it too, and I think what you're saying is tied to that -- a lot characters are introduced but often not carried forward, which from a network point of view makes it very modular.
12:10 At least in shonen anime, it's pretty easy to imagine how the small world network occurs: The story usually focuses on a specific protagonist character, whom we see the world through from start to finish, so the longest paths will often converge in this main character. Simply put, the protagonist has two friends, so the parents of those friends are only 4 steps separated from each other even if they never actually met in the story. Maybe something like Hunter X Hunter, who has functionally multiple protagonists, can produce a larger network.
Exactly, I think that's part of the reason as well. Even in Jojo you do have one or two characters, especially Dio and Jotaro and Joseph who span a couple of seasons which is enough to cause it as well. I think HxH is a great idea to test. I have seen it but it didn't occur to me to test it.
What are some ‘power of friendship’ shows (anime or non-anime) you can recommend me? I’m looking for things to watch to recover from making this video lol. EDIT: for those of you wondering, the power of friendship of the brain is 5.11. I am bummed I didn't think to calculate that in the video -_-
Fairy Tail
oo I know nothing about Fairy Tail, is it power of friendship-y? I didn't get that vibe from the pictures I saw but obviously thats a poor way to judge lol
@@not_David Yes. It is basically all about power of Friendship. And it has ships......... though only occasionally the kind seen in One Piece ;)
I should warn you that it's long, but compared to OP it is not.
Also as you might have heard My Little Pony: Friendship is Magic is also about it. Though people for some reason hate the fandom.
I mean you can watch like the opposite of power of friendship which is like jjk but I’m not really sure
What I'm getting from this video is that friendship depends on some time spent in proximity to each other. Yet, we've never spent any time together.
I see how it is.
hey hey hey not true, case and point 3:35
are you two friends?
well the english youtube maths sector aint that big
@@YMandarinand friendship will only make it bigger 🥵
@@YMandarin its a small world ig
15:54 I take a break from working on my thesis proposal to watch a goofy anime video, and all of a sudden the video is about my thesis topic :0
Great video! That’s what I love about network science - asking how “things are related to other things” can reveal so many interesting similarities.
Ooo what are you doing for your thesis?
Graph models of the brain!
very cool, both of you! 👍
speedwagon being the link between all of these jojo communities is so funny, dude really is just the undisputed goat
i need to know how the Show My Little Pony: Friendship is magic holds up compared to these xD
It's actually incredible how you achieved that I watched for 16 minutes without understanding anything, just until I got my educational part, thank you!🎉
Yes he’s back!
6 months for a 20 minute video -_- what a ratio haha
@@not_Davidwith quality like this, we're happy to wait!
This video is criminally underrated. I wonder why it has little views?
*Wink* *Wink* *checks the connection between you and anime youtubers...*
haha thank you :')
@@not_David Is my reasoning accurate to the real data?😅
If so, we anime-science nerds might be a rare specimen.
@@Fenhum I definitely didn't think so but apperently? That's okay, everyone who has watched it has been incredibly receptive to it so I am okay with that :) Besides, the YT algorithm works in wierd ways -- the Uhmms video sat at 3K views for a month before the algorithm got to it and then it took off in a week lol.
Another anime-science nerd reporting for duty! o7
@not_David I see. Good luck then!
@@BooLightning Oh so you're an anime-science nerd? Name every sci-fi anime.
Welcome back , "David. "
If that's even who you are, "David"
Lol
Friendship is Witchcraft was not a reference i was expecting but by God I am here for it lmao
today is indeed a great day to see a breakdown breakdown
I made graphs for supports for a couple of Fire Emblem games, and they can be pretty cool to look at. You can sometimes see little 'factions' emerge in the various armies.
Oooh I've only played the FE on the gameboy advanced (I am old -_-) but I feel like FE would be a really good series to do that on. You should make a video on it if you havn't already, I'd love to see it!
@not_David oh boy... videos are easy to watch but hard to make hahaha
8:17 there are 6 seasons of Jojo bizarre adventures, but the first season has both part 1 and 2, and part 3 is divided on 2 different seasons, and from there, each part had just one season
oh yeah for sure (though I've heard others argue there are more). But what I think is interesting is that the network agrees that part 1 and 2 should be classified as part of the same community, where as the splitting of part 3 into two seasons is a bit arbitrary (likely due to production) and that's also mirrored in the network as they are not split apart there.
@@not_David Probably because of how small Part I's roster is... just Erina and Speedwagon also appearing in Part II means a large percentage of part I characters are also part of the Part II cluster and almost all have links to members of the Part II cluster. Plus, since there are so few Part I episodes, people like Jonathan, Zepelli appearing in one or two flashbacks means a significant portion of their appearances are shared with the Part II cluster, making them also part of the part II cluster. That's my speculation without seeing the dataset itself.
You got me over here mumbling to myself about the joys of Bleach and then the video switches to cool MRI stuff, not expected but very cool
I will watch bleach! ... one day... I hear really good things about TYBW (and the animation looks amazing)
@not_David It takes a bit of fortitude to get through the show, it's got Old Anime syndrome with the drawn out power up scenes and fights
The TYBW is crazy 11/10
6:57 Talk about eye candy.
that should have been the thumbnail lol
biggest plot twist of the video tbh
@@not_Davidhow do I make my house look like that
The new visualization look so good
Your production quality is crazy, this video was so worth the wait! And also worth disobeying you and paying more for your Patreon :P
Ok I feel like I want to elaborate, because just typing "production quality gud" is a bit cheap:
Everything about this video feels perfect to me. The script is very well thought out, even with some of the jokes scrapped (tho I'd like to hear them if I'm being honest).
The visuals are obviously amazing, the style is a very pleasant mix between clean/professional and a certain artistic quality that fits the character of the entire work very well and that I personally really like.
The sound design, while often overlooked in educational videos, is absolutely on point in my opinion. The music is incorporated nicely while not being overwhelming. And most importantly, especially for hearing-impaired folks like me: I can understand every word you say. That's obviously at least partly due to you speaking very clear and with a pacing that's easily understood by even non-native speakers. But beyond that I feel like the way you edited your voice (with compression, eq and what have you) is perfect for this kind of educational content. I see (or rather hear) more and more content creators in recent years process their voice to such an extent that there's almost only bass left, which might fit the character of some radio shows but it makes for a very unpleasant hearing experience for people who have hearing loss in the higher frequencies (upward of 1-1.5kHz, which is pretty much everyone with hearing loss).
Ok so now I've went on quite the rant, which wasn't really my intention but as this issue is very near and dear to my heart I wanted to express my appreciation of how you approach your production. Also there are actual not-auto-generated English subtitles, which I just now noticed because I didn't at all need them in order to be able to understand you :D That makes the entire accessibility thing even better.
So yeah, kudos to you and I'm very excited to keep supporting you and your work!
Amazing comment, thank you :) I do take accessability very seriously and I'm still not perfect at it, but I do my best. I think non-auto generated subtitles are very important because I can add a bit of emphasis or something to carry the tone across even if someone can't hear a thing. There is room for improvement though (especially with all my spelling mistakes haha). Again though, thank you :)
great video, now lets watch it!!! I love your videos man!!
Thank you, i hope it was worth the wait!
this reminds me of that one anon that solved a permutation problem due to an anime argument
I vaguely remember hearing about this... I need to look it up again...
@@not_David wasnt it about watch order of the endless eight episodes of the melancholy of suzumiya haruhi?
My simplistic thought about the small network factor would be the main character focus that results in a few constant noies which are always involved for most connections (read: episodes) - would be interesting so see how a random network behaves when introducing such largely consitent nodes and if it meaninfully changes type. Maybe the same with the brain regarding the left-right corpus callosum interconnect?
That's what I originally thought and wasn't even going to do the small worldness because I thought it would be trivial because of that. However, because of the math I did to make the friendshipscores between 0 and 1 (details in description), and then the cutoff threshold, its actually no longer true -- the main character is often not the most popular character in the show because of this. So theres something else that is driving the smallness of the network.
The network guy is back!
Absolutely phenomenal video, super interesting and an engaging way to learn. I study mechanical engineering but your channel has inspired me to take a graph theory elective in my fourth year!
That's such a nice comment, thank you I am honoured :)
My thoughts:
0- Congrats for all the work !
1- I'm surprised you did not picked Fairy Tail which is infamous for its power of friendship.
2- Also I'm pretty sure Zoro and Ace should share a connection (see the end of Alabasta) but I get why (the threshold).
3- I also see a big wich is "enemies". Let's say Luffy and Don Flamigo, according to the graph they should be good friends.... quite the opposite.
4- You should read Bleach, not watch nor drink it.
5- For the brain, what were the data? The cross "luminosity", the co-frequency, something else ?
Thanks for your thoughts!
0: Thank you :)
1: I didn't know anything about Fairy Tail but I've seen some people mention that as well, it's certainly much higher on my list now
2: Exactly, they don't show up together enough to get a link to pass the threshold
3: Yeah for sure. "Friends" here should probably be more like "are they aquiainted". Maybe this would be a first step to weed out all the connections to know who to focus on, but to get negative relations you'd need to go into the show most likely. That being said, in these shows the enemies do often turn out to be friends later on lol
4: Don't worry I always read the warning labels whenever handling Bleach
5: It was Blood Oxygen Level Dependant signals from fMRI, essentially just how oxygenated the blood is which is taken as a proxy for neural activity
This is so cool. I genuinely think i would have done better in math class if I was taught the things I could do rather than rote memorization of formulas. I made sure I understood ratios and percentages because I knew where to use those things IRL. I've been talking with various people recently about education and social media and I just hope videos like this get out there and inspire kids to learn.
my favourite kind of comments because this was it exactly for me. I did super poorly in high school because of this but it wasn't until I got to uni where my profs showed me how super creative math/science can be. I try to take that with me when making these videos. Thank you :)
19:25 guy really went "quantum entanglement, quantum Schrodinger theory, quantum temporal anti-negentropy."
Another Not David video just as I get back home from work. Life is good.
Thank you very much for the detailed description box! Highly appreciate the work that is put into it (and espacially the sources incl. Music).
Thank you! I spend maybe too long writing those sometimes and its nice seeing people going into them and reading it haha
1:45 thank you for that note, as the bleach fan in question i appreciate your sincerity
Every time you post I unlock a new level of math and I love it. Keep posting David!!
thank you haha that's a nice comment
While anime is not my cup of tea, you consistently kept my attention with absolutely great visuals, interesting theory and good humor throughout. The sudden switch to the brain to show the applicability of network theory was a real treat. I love the videos, keep them coming!
Thank you :) Part of the reason this video took so long to make was because I wanted to make sure the script did not alienate people who havn't watched anime. I'm glad to see the effort worked for a lot of people.
You tricked me into learning about neuroscience using anime! Wow what a great video.
Wow this video is a masterpiece 🔥
It's amazing that videos like this are available for free!
that's high praise wow, thank you
Great video! Loved the animation, your application of the rigorous scientific process and the super neat way you taught us many of these techniques and your interpretation of the results
Thanks for taking the time and effort to make this and putting in all this love into it!
Had two follow up questions -
- 1. Which characters were on the different longest path in the different shows?
- 2. What was the Power of Friendship of the brain?
Thank you :)
1. Great catch! Its not unique. Theres actually quite a llootttt of characters whose distance is 5. I suspect that is due to the 'hub' characters like luffy who connect a lot of other nodes. I opened my graph and I think one example would be 'Charlotte Basskarte' and 'Shandia'. I actually have no clue who those are, but thats because the largest distances are statistically going to be between the characters that show up the least.
2. I was actually kicking myself the night before I didnt think of it. I actually just calculated it and its really low at 0.5. I kind of suspect that I maybe did something wrong in a rush, or its possible that I need to rethink the break threshold. The brain network is different in that you can have negative links (brain activity in one region is anti correlated with other regions). Thats very common and could mess up how I take the threshold value because in the anime network it can only be positive.
oh no, I just calculated the formula wrong. It is actually 5.11 so very high power of friendship!
Huzzah!
It takes the whole gang to make it through each day, so this number definitely tracks
Thanks for your answers!
What amazing production quality with interesting topics!
Thank you, I'm glad you enjoyed it :)
Oh, this video was so delightful as always! I have to admit, some of the brain stuff is slightly beyond my reach, but the basis of it all was explained so clearly I am fairly sure I still got the gist (and man it really is incredibly interesting)
And as usual, the editing and animation are absolutely top notch - I loved the comic book style effects you chose (and it's always fun to see a Persona 5 cut-in, hehe)
Those are very kind words, thank you :)
Man, I saw a trend of increasing video length from you lol. Good work on this video too! Really enjoyed the content
It wasn't intentional haha I am treally trying to keep these shorter but the topics have become more complex (that's also why they take so long to make). But still, thank you :)
@@not_David Now that I've rewatched it again, I noticed your point about how network evolve over time. I was wondering if you have more reading materials for that? I am interested in how path finding algorithm such as google map direction works in evolving traffic and how to account for it during route calculations
@@YandiBanyu Sadly there really isn't any one reading material for this. It is very very problem specific. The method I used is what is often done in neurophysics, where we often call it 'Dynamic Functional Connectivity'. There is a wikipedia page for that which could be a good starting point, but how well (or not well) that extends to other systems (e.g., traffic flow) I don't know (and suspect it doesn't).
@@not_David oof, yeah. I've read a couple of wikipedia pages, specifically on the topic of temporal network (or time-varying network) and dynamic network analysis but both only reference further study on spread of events, which does make sense, but I just wonder if there is further reading for path planning problems.
BRUH NO SHOT YOU HAVE IMPOSTER SYNDROME. You have some of the highest quality vids. You are underrated. I'm shellshocked
Thank you for the very kind words lol :)
You really outdid yourself with this video.
Please do a follow up where you dive even deeper into the fun stuff since you went to all the trouble to gather all those data about the episodes in every character!
The twist was really fun but I legit was sad that you weren't going to talk about the most fun clusters or connections you found in each, or trying to differentiate friends and enemies via some sort of faction tagging
Anyway, loved the video!
Thank you! I was actually thinking of doing some indepth dives on a seperate channel (since as you said I already have them). I had a section in the video where I did do that but I felt it alienated people who didn't know the shows.
Some of those things are possible, but the friends vs enemies thing is difficult. By which i mean, finding the 'sign' of a friendship is a genuinely difficult problem in social network analysis. Often it is very easy to find that there is a relationship but finding if its a positive or negative relationship is really difficult. I reckon i could also talk about that if I made a video like that.
@@not_David i mean, this video would alienate anyone who doesnt know the shows and doesnt follow you since you only get to the educational part in the last third. its not gonna be a perfect marriage, the weebs will not get the math stuff and the nerds might not get the weeb stuff.
Amazing as usal! My favourite maths youtuber and 80k crossover was the best christmas present i could have gotten, an applied mathematician is long overdue on their podcast, hope this is them turning their heads towards that...
Thank you haha :) I appriciate the kind words
I had no idea you were a one piece fan! I absolutely adore the show and the little references are amazing!
Yes! Although im still catching up with the series (and actually making network spoiled some things for me... lets just say I thought T.D.Law was going to be like a one off side character in sabaody and then he kept popping up in my graph metrics -_- I don't know how he is involved and what he does but now I know hes certainly not a side character)
@ I had marineford spoiled for me I was extremely mad lol
The visuals are so technically impressive ❤!!!
Thank you :)
I love how, not only is this an incredibly cool and interesting video, but it also contains a really clear love of the "edutainment" community of video creators on UA-cam
In terms of my own random associations, this feels a lot like a concept BDG would investigate in Unraveled, though the execution and presentation is still very much your own. Fantastic work
any mention of my work in the same sentence as BDG is an immense compliment thank you :)
@@not_David It was certainly meant as one!
I love this channel bro
I love how the video is really educational but so well disgused with the anime theme, amazing work!
Super cool video, as I could way easier follow with the face validity I can muster.
Excellent for showcasing networking! You're doing an awesome job!
Thank you for uploading captions at the same time :) I truly appreciate it
Watching the video, I'm sure it'll be great, keep up the good work 👍
Thank you :) I hope you enjoy it
@not_David great video 😄 thank you for your hard work. as always, the visuals are amazing
the juxtaposition of categorizing friendships with logic and statistics is so funny to me 😂
Visuals in the video are superb!
I didnt even know I was subscribed to you!
The visuals are insane bro nice!
Wouldnt it make more sense to run the (non modularity) calculations for the communities aswell and then using the average of all those calculations as x and the calculation of the whole network as y and the final friendship score = modularity • x + (1-modularity) • y
Feels like takes into account that very strong friendships might be present in a community but communities themselves might be more isolated from eachother. A handful of close friends is more powerful than a thousand acquaintances
I was thinking about doing something analogous to this. Or phrase differently -- should the score for jojo be the score for the whole network or the individual communities averaged together? My reasoning was that I wanted the 'power of friendship' to reflect the *anime*. Like if someone really likes 'power of friendship shows' and you know that the last season of a show has the most power of friendship you've ever seen, is it still a good recommendation for that person who would have to sit through a lot of 'non-power of firnedship' just to get to the good stuff? I don't think there is a right or wrong answer here, but I opted to treat the shows as a whole instead of as a sum of their parts.
networks are truly fascinating in how they can make a meaningful image from dots. Even if meaningful, they feel random until put on a plot or network. I love statistics for this reason too.
3:04 that low-key gave me flashbacks to the percolation video 😂
haha I was thinking the same as I was making it
I briefly woke up to get some water at 3am and saw this uploaded. I don't have the time to watch it for now, but just know I liked the vid and commenting to try and help it get recommended more.
Can't wait to watch this later! :D
haha thank you! This video is not worth healthy sleep, it will be there for you later!
This video is so good what the hell
Networks have been a fascination of mine for a little while and featured extensively in some personal projects of mine, but I've only ever actually covered network adjacent subjects in my education, so this stuff just tickles my brain endlessly. I could listen to you talk about networks all day :)
thanks so much :) I never had it pop up in my studies so when I was first introduced to it I was slightly intrigued but then someone soon after introduced me to a blog where the authour was trying to identify the main character of star wars using network theory and I was blown away. That blog inspired a lot of this video in fact (at least thematically).
@not_David aaand that's a Google search and a bookmark for some light reading later! Is it the one by Evelina Gabasova?
Data science content is such a great niche on UA-cam, and everyone once in a while a nerdy-ass video will absolutely blow up, and I know you've got the sauce. Keep it up! I'll be on your patreon :)
Yes the one by Evaline Gabasova, it was really good! I'd also recommend Networks an Introduction by Mark Newmann if you can find it. The first third of that book is a math-free look at some of the things networks can be used for. Its from the early 2000s but it inspired the youtube subcriber video I made. Then it goes into all the math of how to do all that stuff.
The breakdown breakdown in the beginning got me
yay graph theory man :D keep going dude
Worth waiting 6 months for lol Great Video!
Well, third comment on this video. I've dabbled in graph theory in a bioinformatics class and it's really cool to see similar concepts being explored on this channel. It may be another area you could look into for more graph algorithms and approaches if you're interested! The context for me was identifying protein-protein interaction clusters by seeing how often they come up together which is basically finding groups of friends in this context, very cool! I dropped the class for now so I'm actually not that suited to give you futher reading but I know there is more out there in this field! Cheers!
actually protein interaction networks is something ive really been wanting to look into a bit more. What little I've seen in that area has been mindblowingly complex
@@not_Davidif you decide to dig into it ping me here and I can dig up some references, slides and stuff as starting points for you from my course which will probably save you the work of getting an overview which I find the hardest part when getting started with a topic:)
I usually don't write youtube comments... But I just wanted to tell how unbelievably good this video is. The graphic design, the animations, the science...
I have absolutely no interest in anime, but I still loved every second of this video - well done!
Thank you! That genuinely means a lot to me. Part of the reason this took as long as it did to make was to make the script understandable/enjoyable even if you havn't watched the anime. There are plenty of in-jokes for those that do, but my goal was to make it transparent even if you don't (I succeed in some places better than others admittedly).
@@not_David The humor definitely worked for me! I got a lot of the jokes, and for others you could just guess the punch line by the way you wrote/delivered them. Great stuff!
Fantastic video. Very very well made. The topic it cool, the animations are well made, the jokes are super, the references makes me nostalgic, the integers shown with two decimal places precision are precise 🤷♂😂. I loved it. I might have to look up some network algorithms, the video made me think about how to do these computations not to think of doing them efficiently. 👍
Loved the section about brains!
I was under the impression that for JoJo
- Season 1 is part 1 and 2
- Season 2 and 3 are both part 3
- Season 4 is part 4
- Season 5 is part 5
- Season 6 is part 6
dayumm that is a lot of work, thanks for bringing all this information to us mere mortals
I *NEED* to know who are on the thickness of jojo
Fantastic video! As an anime fan and a fan of your videos, this was a super fun watch.
I do wonder a bit about how you're scoring friendship strength. Particularly in that there are characters who have strong friendships as a foundational aspect of their origin story, but that are separated from these past friends and so we don't see them in the show but they are referenced.
Also, to echo what I read in some comments here, a lot of the friendship building comes in the filler episodes.
But regardless, this was an entertaining watch! And I learned some stuff I didn't already know about networks :)
Regarding your first point -- for sure, this is definitely a (very) rough approximation (hence 3:33). It's entirely possible that in this particular example (i.e., fictional characters) one could get a more nuanced view. But that would also raise as many questions as to how one should quantify the friendship score and I suspect it will introduce some subjectivity.
And that is actually a real problem that real world social network researchers face, its just that topic in and of itself would be like a 30 minute video on its own lol
@@not_David that would be a 30min video I'd watch! Lol 😆
finally
my algorithm knows what I want to watch
16:48 "dubs > subs" we can never be friends! 😤
the one thing the power of friendship cannot overcome
"we will break down, break down" that's genius, nobody really noticed that jojo reference :( (or it wasn't one)
This video is so good ! ❤️
Thank you! I'm glad you enjoyed it :)
This is an amazing video, thank you so much.
Thank you :) I'm glad you enjoyed it
My god, what an excellent video.
Thank you :) I really appriciate it
I'm kinda sad I didn't get to explore those network a bit more.
Like,.I'm curious of the results.
At one point in the history of the script I did do a more indepth dive into each network one by one but I felt it really would only make sense to viewers who knew the anime, where as I was trying to write this so it would be understandable even without having seen the shows. I was thinking of maybe going a bit more indepth into them on the second channel but we'll see if I have the time
yay! not david is back
the video quality is insanely good brother, the content as usual top notch. loved every second
Thank you, I'm glad you enjoyed it :)
hey
love your vids
hey
thanks
love your comment
@@not_David thanks
how dare this only have 7631 views :C
Interestingly, there is an entire network in the mathematics community made for basically fun. There was this mathematician named Paul Erdos who published more papers than any other mathematician in history (around 1500) and collaborated with around 500 colleagues. Thus a person's "Erdos number" is the distance through collaborations of that person to Erdos himself
0:54 Is that a Jojo's reference?!
so what is the not David Power of Friendship index of the brain network?
For note 1: One idea I have is to divide N by max(M1, M2) or min(M1, M2), where Mi is the number of episodes between the first episode that character i appeared and the latest episode of the show. However, that will result in an unequal treatment of one-off characters that appear later on in the show vs one-off characters that appear early on in the show, so it's probably not that great of an idea.
this is actually what I did originally! There are ways to augment it but inevitably I ran into the same problem -- when you have main characters (like naruto) that show up in the vast majority of the episodes, they just get connected to everyone, and especially with the intervals they end up getting really strong connections to people they met like 2 or 3 times.
i know you put a lot of effort into this, so i wanted to point out a couple of visual effects i loved :D
1:00 the dot matrix to the right
1:09 literally everything about this, the subtle wave, the chromatic aberration, however you changed the strength of the dots
1:37 the hat
3:12 i hope your computer enjoyed rendering that one
3:46 lovely compositing
5:37 the change in the shadow angle
6:50 car
9:39 just really nice
11:39 erdos feeling left out :(
12:10 the clouds
14:16 juicy
ty for the great vid eric
This was such a nice comment, it left a small tear in my eye haha. I was having trouble sleeping (someone in the street below yelled and woke me up 6___6) and I was listening to the final fantasy 9 song 'you are not alone' randomly and was reading this and it was such a mood holy moly. Thank you :')
this is great. but considering a episodes have different scenes not necessarily only one it would maybe be better to analyze subtitle to so which characters are in a scene together and build a friendship network of that. maybe the cutoff set may bring out the similar result but it would be interesting to compare. also thing to consider is that power of friendship anime is basically shonen anime. so there are gona be fights and maybe protagonist, anatagonist. and others need to be accounted for.
Bro literally pulled the inside out twist
really nice video
Thank you :)
Commenting for engagement before watching the video. And well ... for friendship
the power of friendship :')
Negative memory and rest is so relatable
it took me a while to figure out what this was in reference to and now I get it and I agree haha
How would your approach have handled a show like Game of Thrones, where several plotlines with little close connection are portrayed in each episode?
ooo thats a good question. Now that I think of it, I suspect in those cases it would be less accurate. What you said can happen in anime as well, but the typical anime episode is substantially shorter than a GoT episode and so A and B plots are not as frequent, and that could then be accounted for using the threshold. In GoT, A and B plots likely happen together over many episodes and so I suspect it would meld a lot of unrelated point.
interestingly this is actually the same problem in neurosci. The length of the episode is essentially your time resolution, and some methods of recording brain data have much worse time resolution than others so this is something you have to keep in mind
nice video, apple juice is better than orange juice the people have spoken
excuse me but if you check the poll, orange juice is like 3 pixels ahead of apple juice.
Man
What a cool video
Damn it
How dare you insult apple juice, it's far superior to orange juice
lets agree to disagree ... that apple juice is superior
The fact this video has less than a million views is simply outrageous.
Not sure how much of an impact this has large-scale, but it's interesting to me that this will give false friendship values for characters who appeared in the same episode together, even if they never appear in the same scene together - the most obvious example of this being A-plot characters sharing episodes with B-plot characters.
That is entirely a possibility. That's more or less what the cutoff is trying to account for. If two sets of characters appear together because of A-plot and B-plot stuff, and it happens once then they likely won't pass the threshold. If it keeps happening then that is often because they are in fact related somehow, but its not necessarily true. I admit though, I can't really think of an example where two long running side-by-side stories are occuring, but the characters between them are not aware of each other or don't become aware of each other... but I'm sure it happens.
Insane quality
I had a philosophy class teacher who had published a paper on exactly that, about some tricks on how to make them and an analysis of the results on french science-fiction. It's in french, though: Yannnick Rochat and Mathieu Triclot, 2017.
In any case, glad to see more interesting in this technique :D
time to put my canadian french to practice! Thank you for sharing I'm always interested in similar work to this because I can see how I could have done it differently/better
sorry that the algo screwed you over. great video.
thank you :) I was a bit bummed at first but I've been really enjoying the supportive messages people have been leaving. It's been its own kind of power of friendship thing lol
As some one who hasn't seen any of these shows this is so interesting
I'm glad you enjoyed it :) I put a lot of effort into trying to write the script to not alienate people who haven't seen the shows so I'm super happy to hear that.
7:27 I think for Dragon Ball it’s because there’s only like 3 characters that play a role in every part of Dragon Ball. Quick count is Goku, obviously, Krillin, and Bulma. There are arguments to be made for characters like Roshi, Yamcha, and Chi Chi, who appear in nearly every part of the series, but they end up not being important later on so their appearances are more treated like cameos. While shows like One Piece and Naruto create a cast that survive through each arc and do important things in each arc keeps their numbers higher.
hmm interesting. I noticed your example used only Dragon Ball characters but I do include DBZ, DBGT, DBS (daima came out after I did my analysis). Were you just using those as an example or do you think it extends generally?
@@not_DavidI was just using Dragon Ball characters because they are the only ones that appear in Dragon Ball, Z, and Super. People like Vegeta or Trunks don’t appear in the original Dragon Ball, it’s a backwards compatibility thing. Goku, Krillin, and Bulma go through the entire series more or less each acquiring the same connections, so they’re kinda treated like one character. If people like Yamcha and Tien kept up in fighting strength with Goku, I think it would be more like One Piece or Naruto, where they have a big team that are important the entire time. It’s like if Naruto’s characters like Rock Lee and Might Guy fall off in power and would’ve not been able to make any impact in the Ten Tails arc.
@@friggy1899 ahhh sorry yes I see now. Yeah I think that's probably not too far off the mark. For me my reasoning was, I think, somewhat similar in spirit. While Jojo is very explicitly seperated into parts, I think dragon ball does it too, and I think what you're saying is tied to that -- a lot characters are introduced but often not carried forward, which from a network point of view makes it very modular.
HAHA! Jokes on you I'm studying neuroscience at university and love this video!
duped at my own game :(
12:10 At least in shonen anime, it's pretty easy to imagine how the small world network occurs: The story usually focuses on a specific protagonist character, whom we see the world through from start to finish, so the longest paths will often converge in this main character. Simply put, the protagonist has two friends, so the parents of those friends are only 4 steps separated from each other even if they never actually met in the story. Maybe something like Hunter X Hunter, who has functionally multiple protagonists, can produce a larger network.
Exactly, I think that's part of the reason as well. Even in Jojo you do have one or two characters, especially Dio and Jotaro and Joseph who span a couple of seasons which is enough to cause it as well. I think HxH is a great idea to test. I have seen it but it didn't occur to me to test it.
guys I'm starting to think David might be a nerd