Article ID Journal Published Year Pages File Type
4652589 Electronic Notes in Discrete Mathematics 2011 6 Pages PDF
Abstract

In this paper, we obtain polynomial time algorithms to determine the acyclic chromatic number, the star chromatic number and the harmonious chromatic number of P4-tidy graphs and (q,q−4)-graphs, for every fixed q. These classes include cographs, P4-sparse and P4-lite graphs. We also obtain a polynomial time algorithm to determine the Grundy number of (q,q−4)-graphs. All these coloring problems are known to be NP-hard for general graphs.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics