3 citations · 4 across the 5 of their papers we have counts for
5 papers · 1 filter
A non-constructive proof of the Four Colour Theorem
D. M. Jackson, L. B. Richmond
The approach is through a singularity analysis of generating functions for 3- and 4-connected triangulations, asymptotic analysis, properties of the hypergeometric seri…
A George Szekeres Formula for Restricted Partitions
L. Bruce Richmond
We derive an asymptotic formula for the number of integer partitions of into at most parts each part . We assume and are near their mean values. W…
Counting the Palstars
L. Bruce Richmond, Jeffrey Shallit
A palstar (after Knuth, Morris, and Pratt) is a concatenation of even-length palindromes. We show that, asymptotically, there are palstars of length over a -lett…
Counting Abelian Squares
L. B. Richmond, J. Shallit
An abelian square is a string of length 2n where the last n symbols form a permutation of the first n symbols. In this note we count the number of abelian squares and give an asymp…
A Discontinuity in the Distribution of Fixed Point Sums
Edward A. Bender, E. Rodney Canfield, L. Bruce Richmond +1
The quantity , defined as the number of permutations of the set whose fixed points sum to , shows a sharp discontinuity in the neighborhood of .…