Euler Graph in Graph Theory | Euler Path & Euler Circuit with examples

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  • Опубліковано 20 січ 2025

КОМЕНТАРІ • 240

  • @manakanaditya497
    @manakanaditya497 2 роки тому +94

    * For connected graphs *
    Euler path - A walk which visits every edge exactly once. (start and end vertex may or maynot be same)( don't try to relate with the definition of a path )
    Euler circuit - Euler path with same start and end vertex.
    Euler graph - If a Euler circuit exists in a graph then the graph is a Euler graph.
    1-If a graph has only even degree vertices - Euler circuit exits; Euler path with different start and end vertex doesn't exist.
    2-If a graph has exactly two odd degree vertices - only Euler path with different start and end vertex exists, the start and end vertex being the odd degree vertices.
    3- In very other type of graph Euler path is not possible.
    Your welcome!
    Have a good day.

    • @aneeshkulkarni-xl1jp
      @aneeshkulkarni-xl1jp Рік тому

      thanks a lot bro!!

    • @manakanaditya497
      @manakanaditya497 Рік тому

      @@aneeshkulkarni-xl1jp glad I could help.

    • @GATEWith_HARIS
      @GATEWith_HARIS Рік тому +1

      bhaii please can I get your insta id

    • @GATEWith_HARIS
      @GATEWith_HARIS Рік тому

      bhaii ek baat batao agrr ekk hi odd degre vertices hai toh kya vo euler path hoga

    • @manakanaditya497
      @manakanaditya497 Рік тому

      @@GATEWith_HARIS Nahi ho payega..kyuki odd degree vertices start and end vertices banenge.. toh ek aur odd degree vertex ki zarurat padegi..

  • @pratik2617
    @pratik2617 3 роки тому +10

    Bhai yar tumne itna ache se bataya ki mere college ayr tution teacher dono ne nai bataya, hats off to u, u are god like ❤️❤️❤️

  • @shehrozamjad52
    @shehrozamjad52 3 роки тому +146

    mera kal paper hai bhai jaan thank you so much for the videos, you saved my life and money, love from Pakistan.

  • @bhagyashreemudliar6122
    @bhagyashreemudliar6122 2 роки тому +8

    Sir you are the best 😍😇🤗because of you I learn lots of things....your teaching method is superb👍👍👍👍👍

  • @nilupilu
    @nilupilu Рік тому +2

    arey sir aap toh hero hai ek 6 min video me pura samjha dala thanks a lot

  • @reetu61088
    @reetu61088 3 роки тому +5

    Most understandable language used. Best lecture delivery ..

  • @khhussnain
    @khhussnain 2 роки тому +5

    very nice and the most easiast way that I learnd from you to understand Euler Graph
    Thanks a lot

  • @gigachadkartik
    @gigachadkartik 2 роки тому +1

    Best video on Euler Graph so far.

  • @Piyush-ve3tr
    @Piyush-ve3tr Рік тому +10

    Bruh kabhi socha nahi tha bachpan mei book ke last page pe khelne vala game kabhi syllabus mei bhi aayega 🙂

  • @awananees6060
    @awananees6060 2 роки тому

    Thank you sir g... Kal paper Mera... Ap bhht axha smjhty .... Love from Pakistan..

  • @haiderbangash99
    @haiderbangash99 3 роки тому +24

    A graph has a elr circuit if and only if each of its vertices ave Even degree.
    Theorem of eula circuit
    graph has a eula path if it has exactly two vertices of odd degree.

  • @hadiahashemi4846
    @hadiahashemi4846 2 роки тому +1

    you are one of the best teacher 😊

  • @WhiteFang-oq5dy
    @WhiteFang-oq5dy 2 роки тому

    Waah bhai kya samjaya he ekdam easy language... 👌👌

  • @khushinandanwar2210
    @khushinandanwar2210 Місяць тому

    Bohat easily aur simple and short way mein bht achha smjate ho sir aap❤

  • @mayurkapare9116
    @mayurkapare9116 2 роки тому +13

    Hi Varun I would like to thank you for the way you teach us its a really amazing and easy way to remember and I need to know about the Hierholzer algorithm if you could explain in a short video would be much appreciate.

  • @sanatahir4658
    @sanatahir4658 2 роки тому +2

    great teacher ever

  • @Abgameplay786
    @Abgameplay786 13 днів тому

    Sir g kamaal hi krdiya apne ❤

  • @ashahz....8419
    @ashahz....8419 2 роки тому +1

    sir, i studied in uni but jo ap ka is lecture ki samaj ayi who .level ha ap ka outstanding

  • @genoseditzzz9067
    @genoseditzzz9067 Рік тому

    Jo concept collage vali ma'am ne smjane me 4-6 din liye use less than 10min me smja diya 💎💥

  • @meeradwiwedi
    @meeradwiwedi 2 роки тому +1

    Sirr aapne hum sab bachhon ke number bana diye!!! Thank you sir 🙏 😊

  • @Memoona-hc4ub
    @Memoona-hc4ub 7 місяців тому +1

    Great 👍

  • @vakhariyajay2224
    @vakhariyajay2224 2 роки тому +1

    Thank you very much. You are a genius. 👍👍🔝🔝👌👌🙏🙏

  • @madeeltechurdu7642
    @madeeltechurdu7642 Рік тому

    Love from Pakistan.I appreciate you and your mother .may allah give all happiness in your life that you want

  • @codingmemes1970
    @codingmemes1970 Рік тому

    love you sir you are great , tommorow is my exam and i was in tension that i have not cover some of the topics include euler graph and you made my work easy . Thank you so much .
    Love from Jaipur.

  • @patrongamingtechnologybd1615
    @patrongamingtechnologybd1615 2 роки тому

    Thank you so much love from Bangladesh

  • @hassamarshad4670
    @hassamarshad4670 Рік тому

    Sir AP ppr sa aik din pehla bohat kaam ata ho apka concept ♥️from🇵🇰

  • @Naju283
    @Naju283 4 місяці тому

    So sweet sir ❤ thanks 😊 for very good teaching

  • @aboudeh_
    @aboudeh_ Рік тому

    even i know little urdu still i can understand alot. more simplicity thanks my G ...🤘

  • @kajalbhoyar6217
    @kajalbhoyar6217 3 роки тому +8

    Thank you so much Sir... Aisehi Hamiltonian graph ka bhi Vedio banao Sir

  • @naraboinasupriya2390
    @naraboinasupriya2390 Рік тому

    Thank you so much sir❤️🤗 you are the best.

  • @VishalDusad1998
    @VishalDusad1998 2 роки тому

    Mera kl paper h jitna smj aaya h nah I hope ma phle dekh leta.
    Great teacher loved it

  • @sallardepar1349
    @sallardepar1349 8 місяців тому

    Thanks so much respectful Sir love you from Pakistan

  • @gamech4432
    @gamech4432 Рік тому

    Thank you paaji yrr pass krwaata tuc✨✨

  • @lyricalsushanta2049
    @lyricalsushanta2049 2 роки тому

    Thank you so much sir ❣️ For you simplest explaination.

  • @mkm9247
    @mkm9247 Рік тому

    Best explanation ever 👍

  • @afzalrana2880
    @afzalrana2880 Рік тому

    you are a great person .😊

  • @_MH_d
    @_MH_d 7 місяців тому

    Mera 3 ghnty baad ppr hy and mujy iss ka itna sa bi ni pata tha thankksssssss

  • @abhishekpunn9751
    @abhishekpunn9751 7 місяців тому +2

    1:30hr baad mera exam hai thankyou sir🥰

  • @thatgirl7650
    @thatgirl7650 2 роки тому +1

    Thank you sir ✨

  • @showhan9880
    @showhan9880 Рік тому

    Subah mera exam hein thanks mann
    Allah apka vala kare🤲

  • @samratpatel8060
    @samratpatel8060 Рік тому +4

    DOUBT
    "An Euler cycle in a graph G is a
    simple cycle that passes through
    every edge of G only once."
    but in
    05:55 'e' vertex is visited TWICE

    • @samratpatel8060
      @samratpatel8060 Рік тому +5

      edit : i got it , because the only to be visited once rule was for edges not for vertices.

  • @syedfayazahmad9227
    @syedfayazahmad9227 Рік тому

    Very helpful thanks sir ...

  • @attiqurrehmananeela276
    @attiqurrehmananeela276 Рік тому

    Thanks for covering my whole syllables in few minutes 😂🤝🏻

  • @SahilAsgharofficial
    @SahilAsgharofficial Рік тому

    sir great appreciation for you👍

  • @azandogar802
    @azandogar802 11 місяців тому

    Great teacher😊

  • @Ash_099
    @Ash_099 2 роки тому +11

    Please upload videos on Operations on Graph Specially Fusion operation it's a humble Request Sir! You are Doing a Great Work ! Love your Video Lectures Tysm & Lots of Love ❤🇵🇰

  • @Triogamers-003
    @Triogamers-003 Рік тому

    Thank you very much sir 😊

  • @tanyasaini7463
    @tanyasaini7463 Рік тому

    Very helpful vedio❤

  • @mythgaming2518
    @mythgaming2518 Рік тому

    sir your doing great job ones again thx sir i am vary grate full

  • @AKSHAYMESHRAMBOSS358
    @AKSHAYMESHRAMBOSS358 8 місяців тому

    thank you sir ❤❤❤❤

  • @prabhatyadav998
    @prabhatyadav998 2 роки тому +6

    In path we can't repeat vertices and edges .but you have repeat vertices in second example

    • @synestia6884
      @synestia6884 Рік тому

      acc to definition of path each *edge * has to be visited only once it does not apply for vertices

  • @LetsLearnWithUs
    @LetsLearnWithUs 2 роки тому

    SO GREAT EXPLANATION THANK YOU

  • @pakundo123
    @pakundo123 2 роки тому

    I need to study this language bro cause I know you're an expert in this domain and I want to learn

  • @sanikhas4928
    @sanikhas4928 7 місяців тому +1

    Bro you said repeatation of vertex is not allowed then how did you conder 2nd example as euler graph

    • @UmmeHammad-qe4rp
      @UmmeHammad-qe4rp 6 місяців тому +2

      In Euler path and Euler circuit m vertex repeat ho b skty hai r ni b but edge repeat ni ho ga...

  • @mahedigaming9918
    @mahedigaming9918 8 місяців тому +1

    I have a little doubt that in euler path vertex can be repeated or not ?

    • @lineedge188
      @lineedge188 8 місяців тому +1

      yes, vertex can be repeated

  • @manojghosh7594
    @manojghosh7594 Рік тому +9

    Paper k 1 Hr pahle dakh raha ho sub bhul gaya 😂

  • @RohitBindalMusic
    @RohitBindalMusic 3 роки тому +1

    Sir aap bhagwaan ho 🙏🏻

  • @cppxaxa
    @cppxaxa 2 роки тому

    Thanks for the video !

  • @expert77
    @expert77 11 місяців тому

    Nice explanation

  • @sumayyajabeen4625
    @sumayyajabeen4625 2 роки тому

    Your vedios are so helpful tqsm sir.. i would like to say that please make a vedio on concept of line graph.thank you.

  • @AadeshingaleOfficial-zl5fd
    @AadeshingaleOfficial-zl5fd Рік тому

    Nice Sir 😊

  • @Humera733
    @Humera733 Рік тому

    Lkn jis mein euler circuit exist krta ha wo euler path to nhi ha because us mein edge mid wala repeat ho rha ha?

  • @Humera733
    @Humera733 Рік тому

    Good lecture

  • @SyyadaAyesha
    @SyyadaAyesha Рік тому

    Great way❤

  • @MakhanSingh-ld5pg
    @MakhanSingh-ld5pg 3 роки тому

    Thank you sirr bhot asha smjya hai

  • @mathsexperttutorials7375
    @mathsexperttutorials7375 5 місяців тому

    Sir please make more videos on graph theory like ring sum of cut-sers etc.

    • @TheViral_fyp
      @TheViral_fyp 5 місяців тому

      Free m kya kya chahiye mam😅

  • @sameerkhan-pt8rb
    @sameerkhan-pt8rb 2 роки тому

    Thank you for your help

  • @TheNullDeveloper
    @TheNullDeveloper Рік тому

    In defination of path it is mentioned that vertices cant be repeated but to cover all the edges we may have something repeat the vertices then how it is Euler Path ? Please help me to understand

  • @sourabhkaushik7687
    @sourabhkaushik7687 2 роки тому

    Thanks alot sir 🙏

  • @BATMAN2003-t9j
    @BATMAN2003-t9j Рік тому

    Thank You So Much

  • @hassanmehedi9903
    @hassanmehedi9903 2 роки тому

    awesome video boss

  • @yuvisingh98
    @yuvisingh98 2 роки тому +2

    thankyou

  • @ramankr0022
    @ramankr0022 Рік тому

    very helpful

  • @JyotiYadav-mv7tt
    @JyotiYadav-mv7tt 3 роки тому +1

    Thankyou sir

  • @ashhh2004
    @ashhh2004 2 роки тому

    I love u bro✨💖

  • @aratrikbandyopadhyay9534
    @aratrikbandyopadhyay9534 Рік тому

    So we can say that Every Euler circuit is Euler path but the converse is not always true right?

  • @tejas_machchhar
    @tejas_machchhar Рік тому

    Sir path me to vertex repeat nahi honi chahiye na... To fir 2nd vala graph kaise Euler graph hua...

  • @UMERALSANICHOHAN
    @UMERALSANICHOHAN 11 місяців тому

    bro jahn tak mai sahi hun isme ek or point or add hoga wo ye euler mai vertex ki degree ( even ) honi chye tabhi ban skhta hai.

  • @continnum_radhe-radhe
    @continnum_radhe-radhe 11 місяців тому +1

    ❤❤❤

  • @mritunjaysingh4992
    @mritunjaysingh4992 2 роки тому

    Thank you sir

  • @uroojfatima9633
    @uroojfatima9633 2 роки тому

    Thanku so much sir

  • @anushlkr
    @anushlkr Рік тому

    jo e hai second example me wo 2 baar visit ho raha hai kya wo sahi hai?

  • @p.g4879
    @p.g4879 2 роки тому

    Thank you so much

  • @fshdvtgdjfcc7131
    @fshdvtgdjfcc7131 11 місяців тому

    Aj Mera paper ha or aj Dekhi vedio thank you so much sir

  • @sanathandharm243
    @sanathandharm243 2 роки тому

    Lets say Apaha... 🙌🙌💥

  • @anasabbasi1331
    @anasabbasi1331 Рік тому

    Thanks bro

  • @nikitasahu5548
    @nikitasahu5548 2 роки тому +2

    Please make vedio on recurrence relation sir

  • @Missionct2025
    @Missionct2025 2 роки тому

    Please upload vidios on tree of Mathematics🙏

  • @blackishh7681
    @blackishh7681 25 днів тому

    Varsity life ka akheri xm hai kaal🙂 puri 4saal aap logh bachaliye! Thanks guys

  • @ONLY_MIAN
    @ONLY_MIAN 3 роки тому

    Respect♥️

  • @1suujalvaghela1
    @1suujalvaghela1 10 місяців тому

    But sir isme "e" 2time aa raha h , aur path ka rule h na starting point hi 2 bar aa sake aur koi vertex nai 😭

  • @Coding_with_me78
    @Coding_with_me78 4 місяці тому

    Nice

  • @jasmeetkaur5134
    @jasmeetkaur5134 Рік тому

    Euler theorem and Euler graph different aa sir plz confirm it

  • @divyamodalavalasa2738
    @divyamodalavalasa2738 3 роки тому

    Bhayaa ish graph may path condition source and destination same aiyya hey na..path hesha nahi hotha na bhayaa.plz explain?

  • @devmanandhar8081
    @devmanandhar8081 2 місяці тому

    Nice presentation . Still in path, vertices are not allowed to repeated. But your figure is against the definition .

  • @Entertainmenttv-fr5wx
    @Entertainmenttv-fr5wx Рік тому +1

    Love from Pakistan Lahore

  • @khadijamustafakhadijamusta6224

    Sir how we find length of Eulerian trail in k5

  • @dr.entertainer7774
    @dr.entertainer7774 Рік тому

    That (AAPA) 😂
    Sir g jini marzi koshish karlo maa boli niklni hi aw muho ❤️

  • @tayyab.sheikh
    @tayyab.sheikh Рік тому

    Sir! Can you please make a video on dual graph, I'm really confused about dual graph

  • @moazamali7419
    @moazamali7419 11 місяців тому

    Mera aaj paper ha thanks Bhai 🔥