Abstract

Let P(G,�) be the chromatic polynomial of a graph G. A graph G is chromatically unique if for any graph H, P(H,�) = P(G,�) implies H is isomorphic to G. In this paper, we determine the chro- maticity of all Turan graphs with at most three edges deleted. As a by product, we found many families of chromatically unique graphs and chromatic equivalence classes of graphs.

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