Extremes of permanents of (0,1)-matrices

被引:2
作者
Song, SZ [1 ]
Hwang, SG
Rim, SH
Cheon, GS
机构
[1] Cheju Normal Univ, Dept Math, Cheju 690756, South Korea
[2] Kyungpook Natl Univ, Dept Math Educ, Taegu 702701, South Korea
[3] Daejin Univ, Dept Math, Pocheon 487711, South Korea
关键词
(0,1)-matrix; permanent;
D O I
10.1016/S0024-3795(03)00382-3
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we investigate the values of permanents according to the positions of zeros over m x n matrices with k zeros. We determine the maximum and minimum values of the permanent function and find the matrices which attain these extreme values. (C) 2003 Elsevier Inc. All rights reserved.
引用
收藏
页码:197 / 210
页数:14
相关论文
共 3 条
[1]  
Brualdi R, 2010, Introductory Combinatorics, V5th
[2]   MAXIMUM PERMANENTS OF MATRICES OF ZEROS AND ONES [J].
BRUALDI, RA ;
GOLDWASSER, JL ;
MICHAEL, TS .
JOURNAL OF COMBINATORIAL THEORY SERIES A, 1988, 47 (02) :207-245
[3]  
MINC H, 1978, ENCY MATH APPL, V6