Edge-colouring of regular graphs of large degree

被引：10
|
作者：
De Simone, Caterina [1 ]
Galluccio, Anna [1 ]
机构：
[1] CNR, Ist Anal Sistemi & Informat, I-00185 Rome, Italy
来源：
THEORETICAL COMPUTER SCIENCE | 2007年 / 389卷 / 1-2期
关键词：
edge-colouring; regular graph; join;
D O I：
10.1016/j.tcs.2007.07.046
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We consider the following conjecture: Let G be a k-regular simple graph with an even number n of vertices. If k >= n/2 then G is k-edge-colourable. We show that this conjecture is true for graphs that are join of two graphs and we provide a polynomial time algorithm for finding a k-edge-colouring of these graphs. (c) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码：91 / 99
页数：9
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