Question: Let G be a loop-free undirected graph, where = maxuV{deg(v)}. (a) Prove that x(G) + 1. (b) Find two types of graphs G,

Let G be a loop-free undirected graph, where ∆ = maxu∈V{deg(v)}. (a) Prove that x(G) ∆ + 1. (b) Find two types of graphs G, where x (G) = ∆ + 1.

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