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20012019
most citedAsymptotic enumeration of integer matrices with constant row and column sums

9 citations · 12 across the 10 of their papers we have counts for

collaborators

11 papers

math.CO2019

Random Feedback Shift Registers, and the Limit Distribution for Largest Cycle Lengths

Richard Arratia, E. Rodney Canfield, Alfred W. Hales

For a random binary noncoalescing feedback shift register of width , with all possible feedback functions equally likely, the process of long cycle lengths, sc…

math.PR2013

The expected characteristic and permanental polynomials of the random Gram matrix

Jacob G. Martin, E. Rodney Canfield

A t by n random matrix A is formed by sampling n independent random column vectors, each containing t components. The random Gram matrix of size n, G_n, contains the dot products b…

math.CO2012

The motif problem

E. Rodney Canfield, Ron Fertig, R. Daniel Mauldin +1

Fix a choice and ordering of four pairwise non-adjacent vertices of a parallelepiped, and call a motif a sequence of four points in R^3 that coincide with these vertices for some,…

math.CO2010

On the growth of restricted integer partition functions

E. Rodney Canfield, Herbert S. Wilf

We study the rate of growth of , the number of partitions of whose parts all belong to and whose multiplicities all belong to , where (resp. ) are given…

math.CO2009

Asymptotic enumeration of correlation-immune boolean functions

E. Rodney Canfield, Zhicheng Gao, Catherine Greenhill +2

A boolean function of boolean variables is {correlation-immune} of order if the function value is uncorrelated with the values of any of the arguments. Such functions a…

math.CO2007★ 1 cited

The asymptotic volume of the Birkhoff polytope

E. Rodney Canfield, Brendan D. McKay

Let m,n be positive integers. Define T(m,n) to be the transportation polytope consisting of the m x n non-negative real matrices whose rows each sum to 1 and whose columns each sum…