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Asymptotic enumeration of integer matrices with large equal row and column sums

โœ Scribed by E. Rodney Canfield; Brendan D. McKay

Publisher
Springer-Verlag
Year
2010
Tongue
English
Weight
352 KB
Volume
30
Category
Article
ISSN
0209-9683

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Asymptotic enumeration of 0โ€“1 matrices w
Asymptotic enumeration of 0โ€“1 matrices with equal row sums and equal column sums
โœ Brendan D. McKay; Xiaoji Wang ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 158 KB

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