Title
Bases of primitive nonpowerful zero-symmetric sign pattern matrices without nonzero diagonal entry.
Abstract
It is well known that the properties about the power sequences of different classes of sign pattern matrices may be very different. In this paper, we consider the base of primitive nonpowerful zero symmetric square sign pattern matrices without nonzero diagonal entry. The base set is shown to be {2, 3, ..., 2n - 1}; the extremal sign pattern matrices with base 2n - 1 are characterized. As well, for the sign patterns with order 3, the sign patterns with bases 3, 4, 5 are characterized, respectively.
Year
Venue
Keywords
2016
ARS COMBINATORIA
Zero-symmetric,Diagonal,Sign pattern,Base
Field
DocType
Volume
Diagonal,Combinatorics,Matrix (mathematics),Mathematics
Journal
125
ISSN
Citations 
PageRank 
0381-7032
0
0.34
References 
Authors
0
2
Name
Order
Citations
PageRank
Guanglong Yu12811.07
Chao Yan200.68