Existence of Eulerian Paths and Circuits | Graph Theory

Поделиться
HTML-код
  • Опубликовано: 1 фев 2025

Комментарии •

  • @adnanemezrag3809
    @adnanemezrag3809 10 месяцев назад +1

    bro i love you man. all the questions that was poping in my mind you have answered them. I have searched so long for them but I couldn't find them except here. Thanks again!

  • @weixinmeng6791
    @weixinmeng6791 3 года назад +2

    I love your way to explain Eulerian Path and Circuits that you gave a lot of good examples.

  • @sarfarazalam6077
    @sarfarazalam6077 5 лет назад +6

    Best explaination, great video and consice animation . Indeed Graph is your favourite topic!!!
    Thank you for the video :)

  • @sadiashahzadi6841
    @sadiashahzadi6841 24 дня назад

    I'm belonging to Pakistan
    I really appreciate you
    Because after watching your video
    My all problems have been solved

  • @BobCao
    @BobCao 5 лет назад +1

    Awesome explanation and the table is great!

  • @mathuratudu7271
    @mathuratudu7271 6 лет назад +7

    Your videos are awesome..Please make videos on Maximum flow in graph.

  • @alexgenuario8563
    @alexgenuario8563 4 года назад +1

    Super helpful video. Thanks!

  • @ashaoluayanfe7474
    @ashaoluayanfe7474 2 года назад

    I love your explanation, bravo!

  • @johnsimon8158
    @johnsimon8158 2 месяца назад

    thanks for this awesome video

  • @CK-iq1jc
    @CK-iq1jc 3 года назад +2

    From the table, it says that we need to have
    - one vertex where degree out - degree in = 1 AND
    - one vertex where degree in - degree out = 1 AND
    - all other vertices must have equal degree in and degree out.
    But the example from 8:08 says that it has Eulerian path because all in/out degrees are equal.
    From the table, I thought you were saying that we need to satisfy ALL of the conditions, not just one of them.
    Could you please clarify Eulerian Path for directed graph requirement(s)?

    • @sameerchoudhary8590
      @sameerchoudhary8590 3 года назад

      If a graph has Eulerian circuit then it also has Eulerian path.
      In the table, it says at most not exactly.

    • @CK-iq1jc
      @CK-iq1jc 3 года назад

      @@sameerchoudhary8590 I guess that statement is also true for directed, not just undirected graph? I know that statement came out on 7:06 for undirected graph but wasn't clear if that was true also for directed graph.
      And I missed out on the "at most". Thanks for pointing that out.

  • @Suuuuuuuuuuuuuubrat
    @Suuuuuuuuuuuuuubrat 2 года назад +1

    Awesome 💙

  • @niroo2781
    @niroo2781 2 года назад

    Awesome examples!

  • @g1patil
    @g1patil 3 года назад

    2:45 is confusing if you take example a->b graph. A graph with one edge. There is no cycle , but there exist path which visits all the edges at least once.

  • @prakhar992
    @prakhar992 4 года назад

    Really nice explaination

  • @looksofun
    @looksofun Год назад

    Awesome video !!!

  • @alexandrreznik3209
    @alexandrreznik3209 4 года назад

    Great explanation!!!

  • @BrayanDiazssJD
    @BrayanDiazssJD Год назад

    Good video, thank you.

  • @ankushgupta630
    @ankushgupta630 4 года назад

    MAKE MORE VIDEOS CAUSE THEY ARE AWESOME

  • @claymeistereu
    @claymeistereu Год назад

    3:12 Can an Eulerian Path in an Undirected graph have just even degrees?
    Take the simple triangle graph. All the vertices have 2 edges.
    But using them all makes a cycle. You can't make a path without one of the edges being unused.

  • @prajwalchoudhary4824
    @prajwalchoudhary4824 Год назад

    a self-edge counts for 1 indegree and 1 out-degree

  • @varshasharma8842
    @varshasharma8842 4 года назад +1

    Plz reply to this ques that for a directed graph,we can find euler circuit or path in case of disconnected graph but not in undirected graph,why?

  • @keerthivasan138
    @keerthivasan138 2 года назад +1

    6.39 Is there are 4 verticies having 3 degree how it has eulerian path

    • @idealspeaker1377
      @idealspeaker1377 Год назад

      actually two of them have 4 degrees. i also saw that by mistake at first....

    • @lorenzomilandri453
      @lorenzomilandri453 Год назад

      @@idealspeaker1377 so ahahahha? it still not an eulerian path

  • @ashgbadamassi6089
    @ashgbadamassi6089 4 года назад +1

    Thanks for this video. I'm having trouble finding the slides for this video on GitHub. Can you please share a link?

    • @WilliamFiset-videos
      @WilliamFiset-videos  4 года назад

      They're under the slides/graphtheory folder from the root dir

    • @ashgbadamassi6089
      @ashgbadamassi6089 4 года назад

      @@WilliamFiset-videos Found them! GitHub was truncating the PDF for display. Thank you!

  • @ankitraj4957
    @ankitraj4957 6 лет назад

    This is awesome.
    I have a question apart from this topic.
    What are some important problems and topics that cover the Computational Geometry part?
    can you please provide the topics and resources?

    • @WilliamFiset-videos
      @WilliamFiset-videos  6 лет назад

      Computational geometry is a fun topic. Important things to cover there IMO would include basic shape intersections, convex hulls, ray tracing, line sweeping techniques, and perhaps geometric data structures like quadtrees and K-D trees.

    • @ankitraj4957
      @ankitraj4957 6 лет назад

      Where to study about the intersection or common area of intersection of N shapes arranged in random way in 2D planes?
      Ex : Common area of intersection of N overllapping rectangles.

    • @WilliamFiset-videos
      @WilliamFiset-videos  6 лет назад +1

      I learned from programming problems and blogs, sorry I don't have any videos on the subject matter.

    • @ankitraj4957
      @ankitraj4957 6 лет назад

      okay

  • @varshasharma8842
    @varshasharma8842 4 года назад

    For a undirected graph,is it essential for the graph to be connected?
    Also,for directed graph,is it essential to be connected?

  • @dontony7071
    @dontony7071 4 года назад

    Best🙂

  • @mohammadezatolahi2418
    @mohammadezatolahi2418 6 лет назад

    amazing ...

  • @jessieli8499
    @jessieli8499 2 года назад +1

    I love you

  • @nevokrien95
    @nevokrien95 5 лет назад

    Spoted some mistakes (i think)
    In 857 there is no path
    Non directed graphs are a spciel case of directed graph which feets ur requirment for eulrian path but they dont all have a path soooo explain

    • @shoebmoin10
      @shoebmoin10 5 лет назад +1

      It doesn't matter if we don't visit all the vertices, we should just visit all edges once.

    • @nevokrien95
      @nevokrien95 5 лет назад

      @@shoebmoin10 ok gotya

  • @vansh2853
    @vansh2853 Год назад

    nice music bro

  • @fishball1634
    @fishball1634 3 года назад

    i think an eulerian path and elerian trial are 2 different things. a trail can have repeated verices and a path can't

  • @viaMac
    @viaMac 4 года назад +1

    You should have made it more clear whether the conditions are necessary or sufficient.

  • @lorenzomilandri453
    @lorenzomilandri453 Год назад +1

    6:37 this isnt an eulerian path ahahah

  • @drmichaelsunsschoolformath
    @drmichaelsunsschoolformath 4 года назад

    Seems to be talking about non-existence