Traces of a Class Of (0, 1)-Matrices
Autor: | Dale M. Mesner |
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Rok vydání: | 1964 |
Předmět: | |
Zdroj: | Canadian Journal of Mathematics. 16:82-93 |
ISSN: | 1496-4279 0008-414X |
DOI: | 10.4153/cjm-1964-008-8 |
Popis: | If A = (aij) is a matrix whose elements are 0's and l's, more briefly a (0, l)-matrix, the trace of A, defined as the sum of the diagonal elements aii and denoted by Tr A, is the number of l's on the main diagonal. Matrices which can be obtained from A by permutation of its rows or of its columns, or both, may be expressed as PA, AQ, or PAQ, respectively, where P and Q are permutation matrices. |
Databáze: | OpenAIRE |
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