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Term ranks and permanents of nonnegative matrices. (English) Zbl 0178.03302


MSC:

15A15 Determinants, permanents, traces, other special matrix functions
15B99 Special matrices
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References:

[1] Dulmage, A. L.; Mendelsohn, N. S., The term and stochastic ranks of a matrix, Canad. J. Math., 11, 269-279 (1959) · Zbl 0086.01802
[2] Jurkat, W. B.; Ryser, H. J., Matrix factorizations of determinants and permanents, J. Algebra, 3, 1-27 (1966) · Zbl 0166.03106
[3] Marcus, M.; Minc, H., Permanents, Am. Math. Monthly, 72, 577-591 (1965) · Zbl 0166.29904
[4] Mendelsohn, N. S.; Dulmage, A. L., Some generalizations of the problem of distinct representatives, Canad. J. Math., 10, 230-241 (1958) · Zbl 0082.01803
[5] Minc, H., Upper bounds for permanents of (0, 1)-matrices, Bull. Am. Math. Soc., 69, 789-791 (1963) · Zbl 0116.25202
[6] Ryser, H. J., Combinatorial Mathematics, (Carus Math. Monograph No. 14 (1963), Wiley: Wiley New York), Math. Assoc. Am. · Zbl 0112.24806
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