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  1. discrete mathematics - How to tell if a graph is bipartite ...

    Oct 13, 2015 · So I have the following graphs drawn. How can I tell whether they are bipartite? If it is bipartite, how to identify 2 disjoint non empty sets?

  2. discrete mathematics - Why is a bipartite graph in which every vertex ...

    Oct 7, 2023 · 0 I am trying to intuitively understand why a bipartite graph in which every vertex has degree exactly $2$ is simply a cycle.

  3. Proof a graph is bipartite if and only if it contains no odd cycles

    Apr 29, 2024 · How can we prove that a graph is bipartite if and only if all of its cycles have even order? Also, does this theorem have a common name? I found it in a maths Olympiad toolbox.

  4. Edge-coloring of bipartite graphs - Mathematics Stack Exchange

    A regular bipartite graph has the same number of vertices in the two partions. So we need to add vertices also. I'm not sure that it is always possible to add edges to get a $\Delta$-regular bipartite …

  5. Are the graphs with no vertex and 1 vertex bipartite?

    Jul 26, 2011 · I am not sure how the definition of bipartite graph fits for these graphs. If they are bipartite where is the bipartition?

  6. Prove that all trees are bipartite - Mathematics Stack Exchange

    Jul 27, 2016 · Prove that all trees are bipartite [closed] Ask Question Asked 9 years, 6 months ago Modified 8 months ago

  7. Example for adjacency matrix of a bipartite graph

    Jan 24, 2016 · Can someone explain to me with an example how to create the adjacency matrix of a bipartite graph? And why the diagonal elements of it are not zero? Thanks.

  8. Intuitive reason behind the fact that the definition of bipartite graph ...

    Jun 7, 2020 · Of course, the definition of "bipartite" is easily generalised to graphs that are not simple, and we might want to do this in some cases: for instance if we are studying graph colourability, we …

  9. Delete edges to make a graph bipartite - Mathematics Stack Exchange

    Oct 23, 2025 · So the best way to make a graph bipartite is to enforce a bipartition where some of the Ai A i 's are on one side and the rest are on the other; in other words, we delete all or none of the edges …

  10. Vertices of Matchings in bipartite Graph are Matroid

    Jan 3, 2024 · Vertices of Matchings in bipartite Graph are Matroid Ask Question Asked 2 years, 1 month ago Modified 2 years, 1 month ago