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- W2045276514 abstract "Clearly the permanent function is invariant under permutations of rows and columns and under matrix transposition. An up-to-date account of the theory of permanents and an extensive bibliography on the subject is to be found in [2]. The permanent function plays an important part in combinatorics. In fact, the permanent of a (0, 1)-matrix (i.e., a matrix all of whose entries are 0 and 1) is the number of systems of distinct representatives for the corresponding configuration [7, p. 54]. It is therefore of considerable interest to determine the bounds for permanents of (0, 1)-matrices with prescribed row sums (and/or column sums). Let ri and cj denote the ith row sum and the jth column sum of A respectively, i.e.," @default.
- W2045276514 created "2016-06-24" @default.
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- W2045276514 date "1967-06-01" @default.
- W2045276514 modified "2023-09-26" @default.
- W2045276514 title "A lower bound for permanents of $(0,,1)$-matrices" @default.
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- W2045276514 doi "https://doi.org/10.1090/s0002-9939-1967-0220610-5" @default.
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