Primitive Zero-Symmetric Sign Pattern Matrices with Zero Diagonal Attaining the Maximum Base-Reference-Cited by-同舟云学术

Primitive Zero-Symmetric Sign Pattern Matrices with Zero Diagonal Attaining the Maximum Base

Published:2012 Issue: Volume:2012 Page:1-28
ISSN:1110-757X
Container-title:Journal of Applied Mathematics
language:en
Short-container-title:Journal of Applied Mathematics

Author:

Zhang Ling¹,Huang Ting-Zhu¹,Li Zhongshan²³^ORCID

Affiliation:

1. School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 61173, China

2. Department of Mathematics, North University of China, Taiyuan, Shanxi 030051, China

3. Department of Mathematics and Statistics, Georgia State University, Atlanta, GA 30302-4110, USA

Abstract

The base set of primitive zero-symmetric sign pattern matrices with zero diagonal is{1,2,…,2n−1}. In this paper, the primitive zero-symmetric sign pattern matrices with zero diagonal attaining the maximal base2n−1are characterized.

Funder

Sichuan Province Sci. & Tech. Research

Publisher

Hindawi Limited

Subject

Applied Mathematics

Link

http://downloads.hindawi.com/journals/jam/2012/276386.pdf

Reference13 articles.

1. On the period and base of a sign pattern matrix

2. Primitive zero-symmetric sign pattern matrices with the maximum base

3. The base sets of primitive zero-symmetric sign pattern matrices

4. Bounds on the local bases of primitive nonpowerful nearly reducible sign patterns

5. Irreducible powerful ray pattern matrices

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