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The base sets of primitive zero-symmetric sign pattern matrices

โœ Scribed by Bo Cheng; Bolian Liu

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
240 KB
Volume
428
Category
Article
ISSN
0024-3795

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โœฆ Synopsis

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 zerosymmetric 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.

๐Ÿ“œ SIMILAR VOLUMES

The base sets of quasi-primitive zero-sy
The base sets of quasi-primitive zero-symmetric sign pattern matrices with zero trace
โœ Shiying Wang; Jing Li; Wei Han; Shangwei Lin ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 221 KB

The base sets of primitive zero-symmetric sign pattern matrices, Linear Algebra Appl. 428 (2008) [715][716][717][718][719][720][721][722][723][724][725][726][727][728][729][730][731] showed that the base set of quasi-primitive zerosymmetric (generalized) sign pattern matrices is {1, 2, . . . , 2n}.