Question: Subject - Graph Theory (a) Prove that (G) 1 + max{deg G (x) : x V } holds for every (finite) graph G = (V,

Subject - Graph Theory

(a) Prove that (G) 1 + max{degG(x) : x V } holds for every (finite) graph G = (V, E).

(b) Let G be a connected graph with at least two vertices. Prove that (G) = 2 if and only if G is bipartite.

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