ON A BOTTLENECK BIPARTITION CONJECTURE OF ERDOS

被引：23

作者：

PORTER, TD ^{[1
]}

机构：

[1] SO ILLINOIS UNIV,DEPT MATH,CARBONDALE,IL 62901

来源：

COMBINATORICA | 1992年 / 12卷 / 03期

关键词：

AMS Subject Classification code (1991): 05C35;

D O I：

10.1007/BF01285820

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a graph G, let gamma(U,V) = max{e(U),e(V)} for a bipartition (U,V) of V(G) with U or V = V(G), U and V = 0. Define gamma(G) = min(U,V){gamma(U,V)}. Paul Erdos conjectures gamma(G)/e(G) less-than-or-equal-to 1/4+ O(1/square-root e(G)). This paper verifies the conjecture and shows gamma(G)/e(G) less-than-or-equal-to 1/4(1 + square-root 2/e(G)).

引用

页码：317 / 321

页数：5

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