k-Shredders in k-Connected Graphs

被引：3

作者：

Egawa, Yoshimi ^{[1
]}

机构：

[1] Tokyo Univ Sci, Dept Math Informat Sci, Shinjuku Ku, Tokyo 1628601, Japan

来源：

JOURNAL OF GRAPH THEORY | 2008年 / 59卷 / 03期

关键词：

graph; connectivity; shredder; upper bound;

D O I：

10.1002/jgt.20336

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a graph G, a subset S of V(G) is called a shredder if G - S consists of three or more components. We show that if k >= 4 and G is a k-connected graph, then the number of shredders of cardinality k of G is less than 2 vertical bar V(G)vertical bar/3 (we show a better bound for k = 4). (C) 2008 Wiley Periodicals, Inc. J Graph Theory 59: 239-259, 2008

引用

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页码：239 / 259

页数：21

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