Geodesic
A Remark on a Theorem of M. Hall
Canadian mathematical bulletin, Tome 17 (1974) no. 4, pp. 547-548

Voir la notice de l'article provenant de la source Cambridge University Press

Let A = (aij) be an m×n (0, 1)-matrix, m≤n. The permanent of A is defined by where the summation is over all one-one functions σ:{1, 2, . . . , m}→{1, 2, . . . , n}. If A is regarded as the incidence matrix of a configuration of m subsets of an n-set, then Per (A) is the number of systems of distinct representatives in the configuration. 
Minc, Henryk. A Remark on a Theorem of M. Hall. Canadian mathematical bulletin, Tome 17 (1974) no. 4, pp. 547-548. doi: 10.4153/CMB-1974-096-4
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[1] 1. Hall, M. Jr.=, Distinct representatives of subsets, Bull. Amer. Math. Soc. 54 (1948), 922-926. Google Scholar

[2] 2. Mann, H. B. and Ryser, H. J., Systems of distinct representatives, Amer. Math. Monthly 60 (1953), 397-401. Google Scholar

[3] 3. M. Marcus, and Mine, H., A survey of matrix theory and matrix inequalities, Boston, 1964 p. 97. Google Scholar

[4] 4. Ostrand, P. A., Systems of distinct representatives, II, J. Math. Anal. Appl. 32 (1970), 1-4. Google Scholar

[5] 5. Rado, R., On the number of systems of distinct representatives, J. London Math. Soc. 42 (1967), 107-109. Google Scholar

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