Let G (V, E) be a loop free undirected graph with chromatic polynomial P(G, ) and V n Use Theorem 11 13 to prove that P(G, ) has degree n and leading coefficient 1 (that is, the coefficient of n is 1)

Question: Let G = (V, E) be a loop-free undirected graph with chromatic polynomial P(G, ) and |V| = n. Use Theorem 11.13 to prove that

Let G = (V, E) be a loop-free undirected graph with chromatic polynomial P(G, λ) and |V| = n. Use Theorem 11.13 to prove that P(G, λ) has degree n and leading coefficient 1 (that is, the coefficient of λn is 1).

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