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Primitive zero-symmetric sign pattern matrices with the maximum base
Authors:Bo Cheng
Institution:a Department of Mathematics and Statistics, School of Informatics, Guangdong University of Foreign Studies, Guangzhou, PR China
b Department of Mathematics, South China Normal University, Guangzhou, PR China
Abstract:In B. Cheng, B. Liu, The base sets of primitive zero-symmetric sign pattern matrices, Linear Algebra Appl. 428 (2008) 715-731], Cheng and Liu studied the bases of primitive zero-symmetric sign pattern matrices. The sharp upper bound of the bases was obtained. In this paper, we characterize the sign pattern matrices with the sharp bound.
Keywords:15A09  15A48
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