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.

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?

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.

Mar 27, 2013 · Hint: If a graph is bipartite, it means that you can color the vertices such that every black vertex is connected to a white vertex and vice versa. Hint: Consider parity of the sum of coordinates.

Jul 27, 2016 · Prove that all trees are bipartite [closed] Ask Question Asked 9 years, 3 months ago Modified 5 months ago

Dec 5, 2020 · Edge coloring of a bipartite graph with a maximum degree of D requires only D colors As graphs are my Achilles' heel, I'm incapable to use the information contained in the above to prove …

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 …

Jan 29, 2015 · I thought a constraint would be that the graphs cannot be complete, otherwise the complements would be disconnected. but, if I take a bipartite graph with 4 vertices on each side, and …

Apr 5, 2024 · Graph $ G $ is bipartite if and only if the eigenvalues of graph $ G $ occur in pairs $ \lambda, \lambda' $ such that $ \lambda' = -\lambda $. Ask Question Asked 1 year, 6 months ago …

Jul 19, 2021 · Then $ e (G)≤n^2/4$ According to the problem , the given graph cannot be divided into non - bipartite graph , so it will have an odd degree cycle . I am thinking of dividing the vertices of the …