On lower bounds for permanents of $(0, 1)$ matrices
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- by Henryk Minc
- Proc. Amer. Math. Soc. 22 (1969), 117-123
- DOI: https://doi.org/10.1090/S0002-9939-1969-0245585-6
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References
- W. B. Jurkat and H. J. Ryser, Matrix factorizations of determinants and permanents, J. Algebra 3 (1966), 1–27. MR 195879, DOI 10.1016/0021-8693(66)90016-0
- Marshall Hall Jr., Distinct representatives of subsets, Bull. Amer. Math. Soc. 54 (1948), 922–926. MR 27033, DOI 10.1090/S0002-9904-1948-09098-X P. Hall, On representatives of subsets, J. London Math. Soc. 10 (1935), 26-30.
- Henryk Minc, Upper bounds for permanents of $(0,\,1)$-matrices, Bull. Amer. Math. Soc. 69 (1963), 789–791. MR 155843, DOI 10.1090/S0002-9904-1963-11031-9
- Henryk Minc, A lower bound for permanents of $(0,\,1)$-matrices, Proc. Amer. Math. Soc. 18 (1967), 1128–1132. MR 220610, DOI 10.1090/S0002-9939-1967-0220610-5
- Henryk Minc, An inequality for permanents of $(0,\,1)-matrices.$, J. Combinatorial Theory 2 (1967), 321–326. MR 211890, DOI 10.1016/S0021-9800(67)80033-4
- Richard Sinkhorn and Paul Knopp, Problems involving diagonal products in nonnegative matrices, Trans. Amer. Math. Soc. 136 (1969), 67–75. MR 233830, DOI 10.1090/S0002-9947-1969-0233830-7
- Richard Sinkhorn, Concerning a conjecture of Marshall Hall, Proc. Amer. Math. Soc. 21 (1969), 197–201. MR 241440, DOI 10.1090/S0002-9939-1969-0241440-6
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 22 (1969), 117-123
- MSC: Primary 15.20
- DOI: https://doi.org/10.1090/S0002-9939-1969-0245585-6
- MathSciNet review: 0245585