Total Coloring of Series-Parallel Graphs

Jian-Liang Wu1, Daiqiang Hu2
1 Shandong University of Science and Technology Jinan,250031, P. R. China
2 Department of Mathematics, Jinan University, Guangzhou, 510632, P. R. China

Abstract

It is proved that the total chromatic number of any series-parallel graphs of degree at least \(3\) is \(\Delta(G)+1\).