Power indices of trace zero symmetric Boolean matrices
Discussiones Mathematicae - General Algebra and Applications (2004)
- Volume: 24, Issue: 1, page 53-61
- ISSN: 1509-9415
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topBo Zhou. "Power indices of trace zero symmetric Boolean matrices." Discussiones Mathematicae - General Algebra and Applications 24.1 (2004): 53-61. <http://eudml.org/doc/287636>.
@article{BoZhou2004,
abstract = {The power index of a square Boolean matrix A is the least integer d such that Ad is a linear combination of previous nonnegative powers of A. We determine the maximum power indices for the class of n×n primitive symmetric Boolean matrices of trace zero, the class of n×n irreducible nonprimitive symmetric Boolean matrices, and the class of n×n reducible symmetric Boolean matrices of trace zero, and characterize the extreme matrices respectively.},
author = {Bo Zhou},
journal = {Discussiones Mathematicae - General Algebra and Applications},
keywords = {power index; index of convergence; period; Boolean matrix; upper bound; power indices; primitive symmetric Boolean matrices; irreducible nonprimitive symmetric matrices; reducible symmetric matrices},
language = {eng},
number = {1},
pages = {53-61},
title = {Power indices of trace zero symmetric Boolean matrices},
url = {http://eudml.org/doc/287636},
volume = {24},
year = {2004},
}
TY - JOUR
AU - Bo Zhou
TI - Power indices of trace zero symmetric Boolean matrices
JO - Discussiones Mathematicae - General Algebra and Applications
PY - 2004
VL - 24
IS - 1
SP - 53
EP - 61
AB - The power index of a square Boolean matrix A is the least integer d such that Ad is a linear combination of previous nonnegative powers of A. We determine the maximum power indices for the class of n×n primitive symmetric Boolean matrices of trace zero, the class of n×n irreducible nonprimitive symmetric Boolean matrices, and the class of n×n reducible symmetric Boolean matrices of trace zero, and characterize the extreme matrices respectively.
LA - eng
KW - power index; index of convergence; period; Boolean matrix; upper bound; power indices; primitive symmetric Boolean matrices; irreducible nonprimitive symmetric matrices; reducible symmetric matrices
UR - http://eudml.org/doc/287636
ER -
References
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