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Power indices of trace zero symmetric Boolean matrices

100%

Zhou B.

Discussiones Mathematicae - General Algebra and Applications

2004

tom 24

nr 1

53-61

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.

Linear operators preserving maximal column ranks of nonbinary boolean matrices

75%

Song S.-Z., Yang S.-D., Hong S.-M., Jun Y.-B., Kim S.-J.

Discussiones Mathematicae - General Algebra and Applications

2000

tom 20

nr 2

255-265

The maximal column rank of an m by n matrix is the maximal number of the columns of A which are linearly independent. We compare the maximal column rank with rank of matrices over a nonbinary Boolean algebra. We also characterize the linear operators which preserve the maximal column ranks of matrices over nonbinary Boolean algebra.

Ograniczanie wyników

2 Discussiones Mathematicae - General Algebra and Applications

1 Hong S.-M.

1 Jun Y.-B.

1 Kim S.-J.

1 Song S.-Z.

1 Yang S.-D.

1 Zhou B.

1 2004

1 2000

Wyniki wyszukiwania

Power indices of trace zero symmetric Boolean matrices

Linear operators preserving maximal column ranks of nonbinary boolean matrices