Power indices of trace zero symmetric Boolean matrices
Bo Zhou
Discussiones Mathematicae - General Algebra and Applications, Tome 24 (2004), p. 53-61 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:287636 
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     year = {2004},
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Bo Zhou. Power indices of trace zero symmetric Boolean matrices. Discussiones Mathematicae - General Algebra and Applications, Tome 24 (2004) pp. 53-61. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1075/

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