E. Canfield

collaborators

2 papers

math.CO2024

Uniform Convergence of an Asymptotic Approximation to Associated Stirling Numbers

E. Rodney Canfield, J. William Helton, Jared A. Hughes

Let $S_{r} (p, q)$ be the $r$ -associated Stirling numbers of the second kind, the number of ways to partition a set of size $p$ into $q$ subsets of size at least $r$ . For $r = 1$ , these…

math.CO2006

Asymptotic enumeration of dense 0-1 matrices with specified line sums

E. Rodney Canfield, Catherine Greenhill, Brendan D. McKay

Let S=(s_1,s_2,..., s_m) and T = (t_1,t_2,..., t_n) be vectors of non-negative integers with sum_{i=1}^{m} s_i = sum_{j=1}^n t_j. Let B(S,T) be the number of m*n matrices over {0,1…