A note on Vizing's independence number conjecture of edge chromatic critical graphs

被引：14

作者：

Luo, Rong ^{[1
]}

Zhao, Yue

机构：

[1] Middle Tennessee State Univ, Dept Math Sci, Murfreesboro, TN 37130 USA

[2] Univ Cent Florida, Dept Math, Orlando, FL 32816 USA

来源：

DISCRETE MATHEMATICS | 2006年 / 306卷 / 15期

关键词：

independence number; critical graph; edge coloring; class one; class two;

D O I：

10.1016/j.disc.2006.03.040

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In 1968, Vizing conjectured that, if G is a Delta-critical graph with n vertices, then alpha(G) <= n/2, where alpha(G) is the independence number of G. In this note, we verify this conjecture for n <= 2 Delta. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：1788 / 1790

页数：3

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