Graph Theory | Spanning Tree & Binary Tree | Discrete Mathematics by GP Sir

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  • Опубліковано 31 січ 2025

КОМЕНТАРІ • 332

  • @gajendrapurohit
    @gajendrapurohit  2 роки тому +40

    ➡ Incase you missed previous Videos of Discrete Mathematics =
    Playlist of Discrete Mathematics - ua-cam.com/play/PLU6SqdYcYsfJ27O0dvuMwafS3X8CecqUg.html

  • @abhijeetdubey8781
    @abhijeetdubey8781 Рік тому +28

    Be patient and see all the class . Because he is one of my best teachers

  • @techmaker7414
    @techmaker7414 2 роки тому +186

    complete graph of 4 vertices will have 16 spanning tree as n^(n-2) is the formula for finding the no of spanning tree for n vertices.

  • @masq_ashfaq4736
    @masq_ashfaq4736 2 роки тому +225

    Order of pendent vertex in tree is
    Option A: 1.
    Thank you Sir 🔥🔥

    • @sujitrishikumar8621
      @sujitrishikumar8621 2 роки тому +2

      how??

    • @bhargavvarma7694
      @bhargavvarma7694 2 роки тому +11

      @@sujitrishikumar8621 pendent vertex can only have one connected edge so order is 1

    • @Abhishek-oq9ej
      @Abhishek-oq9ej 2 роки тому +18

      @@bhargavvarma7694 so sir is simply asking for the degree ..

    • @Jayparmar-bb1mi
      @Jayparmar-bb1mi Рік тому

      True

    • @akashd08
      @akashd08 Рік тому +1

      @@sujitrishikumar8621 one coz it is connected to only one vertex with a single edge

  • @Tech_G.
    @Tech_G. 2 роки тому +14

    Thank you so much sir,, it's very helpful for me and also I got benifit of your digital electronics videos in my exam MSc Computer Science 💞

  • @hsvlogs0152
    @hsvlogs0152 2 роки тому +11

    Apke chalate maths aassan lag rag raha hai, ❤ love you sir, next vedio continue

  • @EksochRajivdixit
    @EksochRajivdixit 2 роки тому +7

    Sir aap aacha padhate ho please continue your videos 👍❤

  • @prachikumari5741
    @prachikumari5741 2 роки тому +5

    This is the best video I have ever found on tree...helped me a lot.... thanku sir 😊

  • @SkyrootX2026
    @SkyrootX2026 2 роки тому +11

    Great sir ...☺😇 thanks for making mathematics very simple .

  • @prabhatgautam2146
    @prabhatgautam2146 2 роки тому +4

    Thanks sir for solving mathematics problem 🙏🙏🙏🙏

  • @103partha8
    @103partha8 Рік тому +6

    01:22 Graph Theory basics: Trees and Binary Trees
    02:44 A tree has a root and branches, while a binary tree has a specific structure with one vertex of degree 2.
    04:06 Binary tree and pendent vertices in trees
    05:28 Spawning tree is a sub-graph of a connected graph that is a tree.
    06:50 The video explains the concept of spawning trees in a complete graph of four vertices.
    08:12 Graph Theory - Spanning Trees and Binary Trees
    09:34 A tree has only one path between every pair of vertices and n vertices will have n-1 edges.
    10:55 The path length of a given tree can be found by calculating the sum of distances from all pendent vertices.
    Crafted by Merlin AI.

  • @sandeeppandey3090
    @sandeeppandey3090 Рік тому

    Bhut bhut dhanyavaad sir ji graph aur tree ko itni achi tarah samjhne ke liye🙏🙏🙏

  • @movieclubnights008
    @movieclubnights008 Рік тому +7

    10:27 Answer (A {1} )

  • @SahilSiddiqui01
    @SahilSiddiqui01 Рік тому +2

    10:55
    Question:-order of pendent vertex in tree is ?
    (A)1 ✅
    I take 15 seconds to solve this
    sir i want question practice lecture for semester exam

  • @poonambisht2180
    @poonambisht2180 8 місяців тому +2

    Thank you so much sir 😊 you are last min saviour❤🙏

  • @shrikrishan3253
    @shrikrishan3253 2 роки тому +4

    Very nice teaching sir, please continue videos 🙏🙏🙏🙏🙏🙏🙏

  • @Talks_with_cku
    @Talks_with_cku Рік тому

    Easily understand the concept of graph theory❤
    It helps me in my semester

  • @rabir6382
    @rabir6382 Рік тому +11

    order of pendant vertex: 1
    Answer: A) 1
    time taken : 2-3 seconds
    Thank you sir 🙏🏻

  • @Taniya-l3q
    @Taniya-l3q 2 роки тому +13

    Thank you so much sir ❤️🙏, very helpful video 🤗
    Ans -(A)1

    • @akashd08
      @akashd08 Рік тому

      one coz it is connected to only one vertex with a single edge

  • @futurestudy985
    @futurestudy985 Рік тому

    सर की वजह से हम ने 1year निकली और अभी सेकेंड भी निकल रही है thanks sir 👣🙏

  • @lokeshsuthar01
    @lokeshsuthar01 2 роки тому +5

    Thank you so much sir ♥️ i'm also waiting for this topic ...

  • @Priya_creative_143_official
    @Priya_creative_143_official 2 роки тому +12

    Thank you so much Sir...for your help 🥰♥️... I'm waiting for your next lecture...plzz upload quickly 🥰♥️

  • @Talks_with_cku
    @Talks_with_cku Рік тому

    Thank you gp sir 🙏
    Your channel is very helpful to Mee..❤

  • @SMblog90
    @SMblog90 Рік тому +1

    Sir ,I am waiting all videos for revision purpose ....
    A lot of thanks ...Sir
    Outstanding analysis ....

  • @mathematicswithnoman9167
    @mathematicswithnoman9167 2 роки тому +3

    order of a pendent vertex in a tree is 1.
    thank you sir for making mathematics very simple and easy..................

  • @abhishekbalyan9393
    @abhishekbalyan9393 2 роки тому +4

    Option no A because pedent vertex means one degree of a vertex and also order of pendent vertex in tree mean no vertex in a tree

  • @Priya_creative_143_official
    @Priya_creative_143_official 2 роки тому +32

    Order of pendent vertex is 1

  • @-KundanYadav
    @-KundanYadav 2 роки тому +4

    Thank you sir 🔥

  • @snatankiduniya
    @snatankiduniya 2 роки тому +1

    🙏🙏Sir plz jaldi discrete mathematics ka all syllabus complete krayiye hamare exam aa rehe hai agle month se aur mathematics college mai bilkul samajh nahi ata hai🙏🙏

  • @BIRESHKUMARSINGH-ir4sn
    @BIRESHKUMARSINGH-ir4sn Рік тому

    Dhanyawad guruji ❤

  • @SonaSona-lx4rj
    @SonaSona-lx4rj 7 місяців тому

    Really thank you so much sir I helped a lot from this playlist

  • @deepakcarpwnter
    @deepakcarpwnter Рік тому +1

    Thank you so much sir ❤

  • @ANSH_himanshu
    @ANSH_himanshu Рік тому +3

    Order of pendent vertex in tree is
    Option A: 1

  • @harley-kz2sk
    @harley-kz2sk Рік тому

    comment so that sir will get notified that his videos are watched n streamed even after a long time

  • @mohdmuzammil988
    @mohdmuzammil988 2 роки тому +1

    you are doing a great job sir hatts off to you ..

  • @Ajinkya_Chirde_07
    @Ajinkya_Chirde_07 2 роки тому +1

    Nice lecture🙂🙂🙂🙂🙂🙂🙂🙂

  • @Priyanshukumar-yl5nh
    @Priyanshukumar-yl5nh 2 роки тому +3

    the example in the starting of the video is a binary tree because in binary tree each node must have at most two child which the given graph is satisfying and its not a root because the tree is not originating from that node

  • @superstarharekrishna26
    @superstarharekrishna26 Рік тому

    Perfect sir👍👍

  • @PersistentPritam
    @PersistentPritam 11 днів тому

    Ans is :- A 10:28
    Because degree is 1.

  • @tuhinheree
    @tuhinheree 4 місяці тому +1

    Order of pendent vertex in Tree is : 1 .

  • @acemaster65
    @acemaster65 Рік тому

    the answer is 1(option-A) cause an pendent vertex is the last edge of an tree and it can be the end of the tree and hence so it is 1

  • @deepakdhaker4254
    @deepakdhaker4254 2 роки тому

    bahut badiya samaj aa ra h sir thanks sir

  • @ummehomairatarin
    @ummehomairatarin 2 роки тому

    Best Teacher everrr

  • @abhishekbaranwal3904
    @abhishekbaranwal3904 2 роки тому +3

    Order of pendent vertex is 1.

  • @footballcreativeeverywhere260
    @footballcreativeeverywhere260 2 роки тому +1

    1 hoga sir
    ❤️ From Kolkata

  • @piyush4830
    @piyush4830 Рік тому +6

    ohh i thought it has the same concept of trees as we studied in DSA but its a bit different ...

  • @BhairavGamers
    @BhairavGamers 2 роки тому +1

    Great sir ji ❤️

  • @ayan.bhunia
    @ayan.bhunia Рік тому +2

    Answer:1
    Time:2 seconds
    Thank you sir 🙏🏽

  • @Rakeshkumar-jf4ty
    @Rakeshkumar-jf4ty 2 роки тому +1

    Very nice sir 🙏 🙏

  • @saanvikhurana24_9
    @saanvikhurana24_9 Рік тому

    sir the correct ans is "a" , thank you sir .

  • @ujjalkumarmondal490
    @ujjalkumarmondal490 2 роки тому +3

    Sir upload next part of this topic

  • @AbhishekThakur-fk7px
    @AbhishekThakur-fk7px Рік тому

    Thank you so much sir.

  • @supercoolkartik
    @supercoolkartik 2 роки тому +1

    Thanks.

  • @intrepid18
    @intrepid18 Рік тому

    Thankyou sir 🙏🏻

  • @vivekbattulla3658
    @vivekbattulla3658 2 роки тому +1

    option (a) will be right sir

  • @gudduvlog675
    @gudduvlog675 Рік тому

    Order of pendent vertex in tree is
    Answer will be (c) 3 .

  • @buddhadebdas1476
    @buddhadebdas1476 2 роки тому +1

    1
    Because in a tree pendant vertex associate by one edge

  • @harshitdaga9804
    @harshitdaga9804 2 роки тому +3

    Sir with due respect,
    In Question 1 on spanning trees the total no. of spanning trees for complete graph of 4 vertices will be 16
    Also we can prove it by the formula n^(n-2).

  • @dalandricex
    @dalandricex Рік тому

    thank you sir , you da real goat

  • @SumangalMaths
    @SumangalMaths Рік тому

    Ans-1
    ❤❤

  • @dhruvbhardwaj6925
    @dhruvbhardwaj6925 Рік тому +1

    Sir in question 1 we need 4 vertex graph you drawed 5 vertex graph

  • @nafiurdx2213
    @nafiurdx2213 9 місяців тому

    I think in the case of a Spanning tree of four vertices (complete), the total spanning trees will be 16, not 12!

  • @mahnoormubeen9117
    @mahnoormubeen9117 2 роки тому +4

    Sir plz explain the degree base in topological indicies in chemical graph

  • @LoveStory-uf9vz
    @LoveStory-uf9vz 2 місяці тому +2

    1 is the answer in this problem

  • @skcareater1277
    @skcareater1277 Рік тому

    Order of pendent vertex in tree is:1

  • @tukendrakulkarni3849
    @tukendrakulkarni3849 Рік тому

    Pendent vertex has degree 1. Time: 0.1 sec 🔥🔥

  • @mukeshsharma-px3rm
    @mukeshsharma-px3rm Рік тому

    Thankyou so much sir

  • @xian623
    @xian623 Рік тому +2

    ans: 1 ////// time 1 sec

  • @amirhasan639
    @amirhasan639 Місяць тому

    degree of pendent vertex : ans =1

  • @anamikabajpai6188
    @anamikabajpai6188 Рік тому

    Sir in case of spanning tree u take the example to explain is a closed graph and in starting u told that the closed graph are not tree how it is tree plz explain sir

  • @Beauty_is_youu
    @Beauty_is_youu 2 роки тому +1

    Order of pendant vertex is 2

  • @dgs2659
    @dgs2659 2 роки тому +1

    order of PV is 1 sir

  • @studypartner8762
    @studypartner8762 3 місяці тому +1

    question 1 me ans is 16, [ n^(n-2) ]

  • @DaminiSinha-g6f
    @DaminiSinha-g6f Місяць тому

    One
    And Thankyou sir

  • @JaineelManiyar
    @JaineelManiyar Рік тому

    nice question

  • @tehreemfatima610
    @tehreemfatima610 Рік тому

    Sir kindly graph duality and line graph, degree sequence of graph pay b video upload kar dein

  • @abcde923
    @abcde923 11 місяців тому +3

    16 spanning tree aayenge sir 4 vertex graph me
    N^(N-2) where N is vertex

  • @abhirupbasu9298
    @abhirupbasu9298 Рік тому +1

    Ans :- A) 1

  • @anjaligautam1144
    @anjaligautam1144 2 роки тому +1

    Good afternoon sir 🙏🙏🙏

  • @soumyadeepbhattacharyya3214

    Order of pendent vertex in a tree is 1

  • @Akm_7475
    @Akm_7475 2 роки тому +6

    Order of pendent vertiex in tree is
    Option (c)=3

  • @adityad7927
    @adityad7927 8 місяців тому

    degree of pendent vertex is one

  • @parveenjaat187
    @parveenjaat187 Рік тому

    1,, Am I Right Sir

  • @priyankasharma2984
    @priyankasharma2984 2 роки тому +2

    Thanku sir

  • @shubham_paliwal
    @shubham_paliwal Рік тому

    Order of pendant vertex in a tree is 1 ✅️

  • @MFRemon-e6m
    @MFRemon-e6m 8 місяців тому

    assalamualikum sir, right now i am studing in 3rd semester. but the reason why i am saying all this is i have 2 courses engineering mathmetics and discrete mathmetics...and i have been following you since the staring time of this semester...and i didnt need to watch any other teachers video..today its done
    THANK YOU SIR

  • @gmmathematicslove
    @gmmathematicslove 9 місяців тому

    Option A is currect ❤

  • @Leo-qo5hk
    @Leo-qo5hk 2 роки тому +1

    Sir please make a video on Kuratowski's non planar theorem

  • @Moosakhan622
    @Moosakhan622 2 роки тому

    order of pendent vertex is 1 because there is only one pendent vertex in tree

  • @RavindraKumar-ke4wk
    @RavindraKumar-ke4wk Рік тому

    Sir tree is unit the Max and min cut topic pr video post karo please ..
    Hamaari class test shuru ho gayi hai

  • @DharmicWalah-j6v
    @DharmicWalah-j6v 4 місяці тому

    B. Time 2sec.❤️👏

  • @chandannegi187
    @chandannegi187 Місяць тому

    suppose a tree has n1 vertices of degree 1,2 vertices of degree 2, 4 vertices of degree 3 and 3 vertices of degree 4 , find n1.
    Sir how i solve this ques ?

  • @vikastiwari5857
    @vikastiwari5857 2 роки тому +3

    Sir a humble request can you please provide full detailed paid course for rajasthan second grade(tgt) teacher exams graduation part...
    Plz sir

  • @muskankanwar5974
    @muskankanwar5974 Рік тому

    Answer _ 1option(A)

  • @aartikumawat6606
    @aartikumawat6606 Рік тому

    answer =1

  • @divyaBharti-nt8vh
    @divyaBharti-nt8vh 2 місяці тому +1

    Option A:,1 sir

  • @A-ONE991
    @A-ONE991 Рік тому

    Order of pendent vertex : 2
    Time taken : 1 Second

  • @kirangarg6419
    @kirangarg6419 2 роки тому

    Sir Polish notation par bhi video bna dijiye

  • @someone-fh2uz
    @someone-fh2uz 2 місяці тому

    last question answer : option A (1)
    time taken 0.329347 sec

  • @sujalthakurvlog1937
    @sujalthakurvlog1937 Рік тому

    Order of pandent vertex is 1🤩