2015年10月13日 · 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?

2016年1月24日 · 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.

2016年7月27日 · Obviously two vertices from the same set aren't connected, as in a tree there's only one path from one vertex to another (Note that all neigbours from one vertex are of …

prove n n -cube is a bipartite graph for all n ≥ 1 n ≥ 1 This is a problem in my textbook and I cannot figure it out at all and have a test on graph theory tomorrow any help would be …

2016年9月11日 · Observe that if uv u v is an edge of Qn Q n joining vertices u u and v v, then the weights of u u and v v differ by 1 1, whence their weights have different parity. It follows that …

Here’s a simple example of a planar bipartite graph: a / \ / \ b--c--d \ / \ / e It has three vertices, a, c a, c, and e e, in one part and two, b b and d d, in the ...

A theorem of König says that Any bipartite graph G has an edge-coloring with Δ(G) (maximal degree) colors. This document proves it on page 4 by: Proving the theorem for regular bipartite …

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

2024年4月29日 · 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 …

2016年5月30日 · Prove that a k -regular bipartite graph has a perfect matching by using Hall's theorem. Let S be any subset of the left side of the graph. The only thing I know is the number …