Recent content by Stephane G

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    Graduate Why does the complement of almost every tree have diameter 2?

    Explain why the diameter of almost every complement of a tree will be 2 and find all exceptions to this rule
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    Graduate Edge Colouring of Bipartite Graphs: Proving Valency Equality

    Prove by induction on the number of edges in a graph that any bipartite graph has edge colouring number equal to its maximum valency. Also, Find such an edge colouring for a bipartite 4-regular cartesian or tensor product of your choice of 2-regular graphs