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COMBINATORICA
2010
13 years 3 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
2006
89views more  JCT 2006»
13 years 8 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...
JCT
2008
96views more  JCT 2008»
13 years 8 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...
COMBINATORICS
2007
60views more  COMBINATORICS 2007»
13 years 8 months ago
Higher Spin Alternating Sign Matrices
We define a higher spin alternating sign matrix to be an integer-entry square matrix in which, for a nonnegative integer r, all complete row and column sums are r, and all partia...
Roger E. Behrend, Vincent A. Knight