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The base sets of quasi-primitive zero-symmetric sign pattern matrices with zero trace

โœ Scribed by Shiying Wang; Jing Li; Wei Han; Shangwei Lin

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
221 KB
Volume
433
Category
Article
ISSN
0024-3795

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โœฆ Synopsis

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}. The matrices with zero trace play a prominent role in matrix theory. In this paper, we investigate the bases of quasi-primitive zerosymmetric (generalized) sign pattern matrices with zero trace and prove that the base set of such matrices is {2, 3, . . . , 2n -1}.

๐Ÿ“œ SIMILAR VOLUMES

The base sets of primitive zero-symmetri
The base sets of primitive zero-symmetric sign pattern matrices
โœ Bo Cheng; Bolian Liu ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 240 KB

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 prim