Counting 1-factors in regular bipartite graphs

被引：65

作者：

Schrijver, A

机构：

[1] Ctr Wiskunde & Informat, NL-1098 SJ Amsterdam, Netherlands

[2] Univ Amsterdam, Dept Math, NL-1018 TV Amsterdam, Netherlands

来源：

JOURNAL OF COMBINATORIAL THEORY SERIES B | 1998年 / 72卷 / 01期

关键词：

D O I：

10.1006/jctb.1997.1798

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that any k-regular bipartite graph with 2n vertices has at least ((k - 1)(k-1)/k(k-2))(n) perfect matchings (1-factors). Equivalently, this is a lower bound on the permanent of any nonnegative integer n x n matrix with each row and column sum equal to k. For any k, the base (k - 1)(k-1)/k(k-2) is largest possible. (C) 1998 Academic Press.

引用

页码：122 / 135

页数：14

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