The base sets of primitive zero-symmetric sign pattern matrices☆
The base sets of primitive zero-symmetric sign pattern matrices☆
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DOI：
10.1016/j.laa.2007.07.024
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发表时间：
2008-02
影响因子：
1.1
通讯作者：
Bo Cheng;Bolian Liu
中科院分区：
文献类型：
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作者：
Bo Cheng;Bolian Liu
在[J.Y.Shao，L.H.You，Bound on Bound on Unductive General Sign Pattern Matters，离散数学，in Press]中，Shao和You将基的概念从强大的符号模式矩阵推广到非强大的(和广义的)符号模式矩阵。本文研究了本原零对称符号模式(和广义符号模式)矩阵的基。得到了基数的精确上界。我们还证明了在这类矩阵的类的基集上不存在“间隙”。
In [J.Y. Shao, L.H. You, Bound on the base of irreducible generalized sign pattern matrices, Discrete Math., in press], Shao and You extended the concept of the base from powerful sign pattern matrices to non-powerful (and generalized) sign pattern matrices. In this paper, we study the bases of primitive zero-symmetric sign pattern (and generalized sign pattern) matrices. Sharp upper bounds of the bases are obtained. We also show that there exist no “gaps” in the base sets of the classes of such matrices.