Symmetric alternating sign matrices

被引：0

作者：

Brualdi, Richard A. ^{[1
]}

Kim, Hwa Kyung ^{[2
]}

机构：

[1] Univ Wisconsin, Dept Math, Madison, WI 53706 USA

[2] Sangmyung Univ, Dept Math Educ, Seoul 110743, South Korea

来源：

AUSTRALASIAN JOURNAL OF COMBINATORICS | 2014年 / 60卷

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note we consider completions of n x n symmetric (0, -1)-matrices to symmetric alternating sign matrices by replacing certain 0s with + 1s. In particular, we prove that any n x n symmetric (0, -1)-matrix that can be completed to an alternating sign matrix by replacing some 0s with + 1s can be completed to a symmetric alternating sign matrix. Similarly, any n x n symmetric (0, + 1)-matrix that can be completed to an alternating sign matrix by replacing some 0s with -1s can be completed to a symmetric alternating sign matrix.

引用

页码：333 / 345

页数：13