Introduction to Graph Theory: A Computer Science Perspective
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- Опубліковано 8 чер 2024
- In this video, I introduce the field of graph theory. We first answer the important question of why someone should even care about studying graph theory through an application perspective. Afterwards, we introduce definitions and essential terminology in graph theory, followed by a discussion of the types of graphs you may encounter. We then define several ways to represent graphs as a data structure and finish off the video with a discussion of what types of interesting problems you can ask about graphs to help motivate the ideas in future videos.
Typo correction: at 5:12 the vertex set V should be {0, 1, 2, 3, 4} instead of {0, 1, 2, 3, 4, 5} (there is no vertex 5).
Big thanks to Dániel László Bertalan for making the closed captions for this video!
The sudoku example was inspired by this incredible reddit visualization: / visualizing_the_sudoku...
Support: / reducible
This video wouldn't be possible without the open source manim library created by 3blue1brown: github.com/3b1b/manim
Here is link to the repository that contains the code used to generate the animations in this video: github.com/nipunramk/Reducible
Music:
October by Kai Engel freemusicarchive.org/music/Ka...
November by Kai Engel
freemusicarchive.org/music/Ka...
Cobweb Morning by Kai Engel
freemusicarchive.org/music/Ka...
3Blue1Brown of Computer Science. Brilliant video.
Absolutely.
When I was watching this I thought hmm why does 3B1B's voice sound different
haha even i thought so
Absolutely Brother. Such nice content in this vast ocean of copy cat junks.
@@KonigKlack They are. He gives credit in the notes below the video.
I was unable to take admission to an engineering college to pursue Software Engineering due to my financial conditions. But I never lost hope I am studying on my own self and I feel privileged that I came to know about your channel. Thank you so much for such valuable content.
Are you indian or paki?
I wish you success
@@harrykekgmail I wish you too :)
I am a self-taught software developer with an established career. you can do this too. university is not required. the best advice to all readers is to start with web dev because it is the easiest path to starting a career. then on your own time study CS and interesting problems - because of this you will gain a fabulous education and your career will advance.
good luck Ali Farhan
I am an autodidact Data Scientist, i started with Web development and i did everything using only google, no school. You can do it but you need to be 10 times better than the others may god help you in your journey.
This is by far the best video regarding graph theory I have seen in my (quite long) life. Extremely clear, extremely accurate and extremely useful. As "Einstein Newton" here said 8 months ago, this can be considered the 3Blue1Brown of Computer Science. Congratulations!
I was about to say that!
Introduction :- 0:00
Why Study Graph :- 1:33
Definition :- 4:35
Terminologies :- 5:22
Types of Graph :- 8:32
Representation :- 10:15
Graph Problems :- 12:44
Pro-tip: if you put the timestamps on the left, they'll line up better.
This is going to be one of the most popular study channel in the future ♥️
This is a great channel, definitely will get much more recognitions in the future!
I'm from the future! You were right. Just discovered this channel and I love it.
It's happening
I agree :)
I am from far future
Just found this, from the farer future
I think it is the best video on UA-cam that discuss and give an existing introduction about graph theory. It was my duty to thank you for this video!
4 years into software engineering and had to refresh the knowdlegd on this. SO far the best explanation of such complex and abstract for many topic graphs. A true GEM video. Thanks!
Your videos are absolutely amazing ! Especially your recursion video helped me immensely. Looking forward to more of your work. Keep going, this channel is going to be big! The video quality is just soo goood.
Thank you! Glad you find these videos helpful and yup I have so many ideas for content so don't plan on stopping any time soon :)
Beautifully explained and easily understandable to someone who knows little to nothing about graph theory or computer science. Keep up the good work!
There is a small mistake at 4:15
You would need to connect every point on a column with every other point on the same column same for the rows. Otherwise a graph coloring algorithm wouldn't work here, since graph coloring algorithms only test for the constraint that each neightbor has a different color.
Man!... your animations blow my mind 🤯 brilliantissime!!! Please keep doing them. I spent a moment on YT to find something understandable about graphs... and I found you! Thank you very much 🙏🏻🙏🏻
I love the mission of this channel! We need more interesting ways to delve into computer science for people who don’t want to sit down for 2 hours to understand fundamental (often complex) computer science topics!!! KEEP UP THE GOOD WORK!
thank you SO MUCH for always providing representation of everything in terms of data structures. this is a differences between a topic being complete jargon and an actually making practical sense
I like the little bit at the end regarding the path through each vertex only once.
Welcome to graph theory 101. After some foundational examples let's jump straight to proving that P=NP. lol
wow never would've thought about sudoku like this - that's awesome!
Dude the way of explained this topic is so amazing and you made it look so easy to understand, It is so hard to understand this topic from books for someone like me. Thanks alot for your help. GOD bless!!
Thank you for this video, I’ve been having a hard time motivating myself to start studying the graph theory chapter for my discrete math class, and this has helped me to finally open my textbook!
The amount of time and care taken to produce this video shows. This is my first time on this channel and i'm looking forward to going through it more.
Never seen a solution to a sodoku with graph theory! I just learned this to prepare for some competetive programming, I knew it was possible to solve using some disgusting nested for loops, but never knew graph would be a solution. Thank you!
Very nicely presented, clear and concise. You are the great teacher.
Amazing Explanation !! You explained such a complex topic in so easy to understand language. I learnt a lot today and also found out interesting ways to visualize a graph. Thank you !!!
This was GREAT! I'm boning up on graph theory for cheminformatics, and this is providing a great foundation!
Imagine Every Single Teacher in The World Teach Like HIM!! I mean there is no Teacher in my College who teach like him. His Explanations are clear and the way he presents his presentation is easy to understand and not boring to watch.
well, I presume no teacher has a couple of weeks/months time to prepare a single lecture that introduces basic concepts
Im just can't thank you enough, this video was so enlightening that actually gives me a hope, it proves that I am able to learn and understand hard concept w/o expensive education. Eventually I would become a programmer.
Thank you from the bottom of my heart
I'm so happy I got here. I'm a completely new to all of this yet I cam out understanding every single thing you just said. That was amazing. Thsnk you so much
Another great one. Can’ t wait for more:)
Superb breakdown of the subject. Had no idea before the video and now I really understand if fundamentally.
This was your first video that i saw amd let me say I'll always come here whenever there'll be a new math concept in CS that i want to understand.
Cheers👍
Brilliant elegant explanation, wow. Thank you one thousand times !
Explain theories with clear diagrams and clear pronunciation. Great !
As a network engineer, this is really interesting! I visualize my networks with python and networkx and dot-graphs. Really fun!
hats off, the production quality is mind boggling.
This is amazing! Reminded me of Vector Art, Wave Function Collapse, and Neuronets a lot.
I have learned a lot, and deffinately want to learn way more!
What a clean video anyone can understand from images itself
Thanks a lot for this
Great video. Simple and easy to understand, and yet it gives a great overview of graph theory concepts.
Keep on going! Your channel is just amazing! (Watching from France)
Brilliantly explained the concept of graph theory. Thank you.
If everyone was like you, study wouldn't not be tough. Thank you for this video and graph theory explanation. What you made is not just knowledge, but enlightment for me. You do it like its a cake to you, and I actually understand your explanation.
Just discovered your channel. I'm about to binge everything you've made.
As a CS student this is really good content. Love all the videos you make!
Beautifully explained. Thank you!
very good video, thank you so much, keep up the good work, watching 2 days before an exam
Great Introduction to Graph Theory. Amazing Explanation.
Your videos are so well explained. Wish i had a teacher like you from high school...
Wow!! Amazing Video. One the best video, I have ever seen.
Great video !!! It Accomplish his goal of giving an introduction on the topic.
Thank you for existing!
Awesome video! Can't wait to see more videos like this being posted!
I came here because of 3B1B, please keep up the good work. You've got great potential.
I will sit and watch all your videos one by one
Please keep up these sensational videos, incredible amount of work and effort gone into these!
Taking this as a grad level course rn. Its very stimulating for visual learners
Why didnt i find this channel sooner? Love this
this video was better than most videos on youtube related to graphs
absolutely amazing explanation!
A very interesting video that explains the concepts well. Very inspiring.
Fantastic, just needed info for programming.Thank you.
I think I'm in love, thank you for the video!
very nice, thanks for the vizualisation and soothing music
Thank you very much, that was a great introduction. Much appreciated
Simply awesome ! keep the good work going 👍
Awesome video. Thank you!
Excellent Channel and very informative with rigor.
Excellent video and narration
thank you very much for this explanation !
Outstanding presentation.
i cant read my college material for this particualr topic and found your videos, ist really great!!
I love this style of video.
The Sudoku example is outstanding and useful.
Thank you, nice introduction!
Thank you for putting subtitles
Wow, so glad I found this channel. Subbed.
Very nicely introduced, I hope you have some very complex cutting edge applications of graph theory to show off :)
Absolutely smooth!
Thank you so much for the video, please make a whole playlist of videos on the graph theory course that they teach in Universities
2:53 Ironically I thought Sudoku would be the first example lmao, but well played
Nice introduction. Now I understand why git commits are directed acyclic graphs. Thanks man!
Very well explained. Subscribed!
nice channel i just found it today, i like the concise summary's of topics
The sudoku Example was the best! Please make more videos on graph theory
Great Video, Thank you!
This was super helpful thank you!!!!!
Thank you so much for your effort, It was a very informative and very interesting video
Amazing video !!! Thank you !!!
You need content.
Binge watchable sets of 20+ min videos on related topics from video to video.
Trust the community.
Keep it up great job.
i wish anyone who has interest in Graph, Watch this, the very first Day. Great Work, Thanks!!!!
Absolutely amazing content.
Amazing! Thank you!
Explained very properly!
nice explanation. Thank you very much.
Keep on going! Your are doing an amazing work!!
Just found you channel through this video. Great presentation.
Thank you so much! This was very helpful.
I spent a few hours building a Graph data type in Haskell (and I do not remember why), and how I did it was as a (cyclic) list of pairs, where the first entry is the node value, and the second is a list of offsets of the node's neighbors. For example, it would represent the graph at 12:38 as [(0, [1,2,3]), (1, [4, 2]), (2, [3, 1]), (3, [2, 3, 4, 1]), (4, [4])]
Thanks! This was great!
It feels so great that Grant has inspired people to follow this cool way of explaining things, keep up !!!
great channel ,please continue making such great videos .
best video for introduction to graphs....
Excellent video!