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Bounds on the number of edges in a graph. (a) Let G be an undirected graph with n vertices. Let (G) be the maximum degree

Bounds on the number of edges in a graph.

(a)

Let G be an undirected graph with n vertices. Let (G) be the maximum degree of any vertex in G, (G) be the minimum degree of any vertex in G, and m be the number of edges in G. Prove that

(G)n2m(G)n2

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