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Onn-column 0, 1-matrices with allk-projections surjective

โœ Scribed by Hongzhong Wu


Publisher
Springer-Verlag
Year
1994
Tongue
English
Weight
595 KB
Volume
31
Category
Article
ISSN
0001-5903

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A condition is provided which ensures that a class of (0, 1)-matrices with given row and column sum vectors must contain an asymmetric matrix.

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Let s, t, m, n be positive integers such that sm = tn. Define N (s, t; m, n) to be the number of m ร— n matrices with entries from {0, 1}, such that each row sum is s and each column sum is t. Equivalently, N(s, t; m, n) is the number of labelled semiregular bipartite graphs, where one colour class c