DISCRETE MATHEMATICS, cilt.309, ss.6572-6584, 2009 (SCI-Expanded)
Refining a bound by Lih, Wang and Zhu, we prove that if the square G(2) of a K-4-minor-free graph G with maximum degree Delta >= 6 does not contain a complete subgraph on [3/2 Delta] + 1 vertices, then G(2) is [3/2 Delta]-colorable. (C) 2009 Elsevier B.V. All rights reserved.