b-colouring the Cartesian product of trees and some other graphs

被引：7
|
作者：
Maffray, Frederic [1 ]
Silva, Ana [2 ]
机构：
[1] CNRS, Lab G SCOP, Grenoble, France
[2] Univ Grenoble 1, Lab G SCOP, Grenoble, France
来源：
DISCRETE APPLIED MATHEMATICS | 2013年 / 161卷 / 4-5期
关键词：
b-chromatic number; b-colouring; Cartesian product; Tree; Exact algorithm; CHROMATIC NUMBER;
D O I：
10.1016/j.dam.2011.06.019
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A b-colouring of a graph is a colouring of its vertices such that every colour class contains a vertex that has a neighbour in all other classes. The b-chromatic number of a graph is the largest integer k such that the graph has a b-colouring with k colours. We show how to find in polynomial time an optimal b-colouring of the Cartesian product of trees by paths, cycles and stars. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：650 / 669
页数：20
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