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JCT
2006
89views more  JCT 2006»
13 years 4 months ago
Asymptotic enumeration of sparse 0-1 matrices with irregular row and column sums
Let s = (s1, . . . , sm) and t = (t1, . . . , tn) be vectors of non-negative integervalued functions with equal sum S = m i=1 si = n j=1 tj. Let N(s, t) be the number of m
Catherine S. Greenhill, Brendan D. McKay, Xiaoji W...
COMBINATORICA
2010
12 years 11 months ago
Asymptotic enumeration of integer matrices with large equal row and column sums
Let s, t, m, n be positive integers such that sm = tn. Let M(m, s; n, t) be the number of m
E. Rodney Canfield, Brendan D. McKay
JCT
2008
96views more  JCT 2008»
13 years 4 months ago
Asymptotic enumeration of dense 0-1 matrices with specified line sums
Let s = (s1, s2, . . . , sm) and t = (t1, t2, . . . , tn) be vectors of non-negative integers with m i=1 si = n j=1 tj. Let B(s, t) be the number of m
E. Rodney Canfield, Catherine S. Greenhill, Brenda...