STRONG PRODUCTS OF KNESER GRAPHS

被引：7

作者：

KLAVZAR, S ^{[1
]}

MILUTINOVIC, U ^{[1
]}

机构：

[1] UNIV MARIBOR,PF,MARIBOR 62000,SLOVENIA

来源：

DISCRETE MATHEMATICS | 1994年 / 133卷 / 1-3期

关键词：

D O I：

10.1016/0012-365X(94)90037-X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G X H be the strong product of graphs G and H. We give a short proof that chi(G X H) greater-than-or-equal-to chi(G) + 2omega(H)-2. Kneser graphs are then used to demonstrate that this lower bound is sharp. We also prove that for every n greater-than-or-equal-to 2 there is an infinite sequence of pairs of graphs G and G' such that G' is not a retract of G while G' X K(n) is a retract of G X K(n).

引用

页码：297 / 300

页数：4

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