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Questions on graph coloring, an assignment of colors to elements of a graph subject to specific constraints.
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Why do Benes networks form bipartite graphs when you build a constraint graph for them?
I was learning about Benes networks and was wondering why they formed bipartite graphs (and thus are two colorable) when one draws a constraint graph for them. The constraint graph is based on the int …
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Does 2-edge-colourability imply 2-colourability?
Why is it that if the edges of an undirected graph G can be grouped into two sets such that every vertex is incident to at most 1 edge from each set, then the graph is 2-colorable.
The reason that I …