Color the graph, and identify the chromatic number. B 8. 7 10 14 10 8 15 12 H E F A. 20

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The following statements are about the chromatic number x(G) and the chromatic index x'(G) of graphs. We use A(G) for the maximum degree of G. Are the following statements true or false? ? ? ? ? 1. x'(G) ≥ A(G). 2. For all n ≥ 3, x'(Pn) = ▲(Pn). 3. For any cycle, the chromatic index is equal to the chromatic number. 4. The chromatic index of any planar graph is at most 4.

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