Among all 5-regular graphs, let G1 be one with the smallest chromatic number and let G2

Chapter 14, Problem 12

(choose chapter or problem)

Among all 5-regular graphs, let G1 be one with the smallest chromatic number and let G2 be one with the largest chromatic number. Suppose that _(G1) = s and _(G2) = t. (a) What are s and t? (b) For each integer k with s < k < t, show that there exists a 5-regular graph Gk such that _(Gk) = k.

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