On the local base of a primitive and nonpowerful sign pattern

Denote by lA(k) the kth smallest local base of a primitive and nonpowerful sign pattern A. In this paper, more “gaps” for the kth local base are shown, and the primitive and nonpowerful sign patterns with the kth local base in [2n2−8n+9+k,2n2−4n+k] are completely characterized.

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Bibliographic Details
Published in:Discrete mathematics 2015-08, Vol.338 (8), p.1473-1480
Main Authors: Yu, Guanglong, Miao, Zhengke
Format: Article
Language:English
Subjects:
Bound
Local base
Primitive and nonpowerful
Sign pattern
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Description
Summary:Denote by lA(k) the kth smallest local base of a primitive and nonpowerful sign pattern A. In this paper, more “gaps” for the kth local base are shown, and the primitive and nonpowerful sign patterns with the kth local base in [2n2−8n+9+k,2n2−4n+k] are completely characterized.
ISSN:0012-365X
1872-681X
DOI:10.1016/j.disc.2015.02.020