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

Zhang, Ling
Huang, Ting-Zhu
Li, Zhongshan
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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 base 2n - 1 are characterized.

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This article was originally published in the Journal of Mathematics and is reposted here with the permission of the authors. Copyright © 2012 by Ling Zhang, et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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2012-01-01
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Research Projects
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primitive zero-symmetric sign pattern matrices
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Zhang, L., Huang, T.Z, & Li, Z. Primitive Zero-Symmetric Sign Pattern Matrices with Zero Diagonal Attaining the Maximum Base. Journal of Applied Mathematics, Article ID 276386, 1-28. doi:10.1155/2012/276386
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