Highly Influenced

@inproceedings{Fertin2005AcyclicCO, title={Acyclic Coloring of Graphs of Maximum Degree ∆}, author={Guillaume Fertin and Andr{\'e} Raspaud}, year={2005} }

- Published 2005

An acyclic coloring of a graph G is a coloring of its vertices such that: (i) no two neighbors in G are assigned the same color and (ii) no bicolored cycle can exist in G. The acyclic chromatic number of G is the least number of colors necessary to acyclically color G, and is denoted by a(G). We show that any graph of maximum degree ∆ has acyclic chromatic number at most ∆(∆−1) 2 for any ∆ ≥ 5, and we give an O(n∆) algorithm to acyclically color any graph of maximum degree ∆ with the above… CONTINUE READING

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