4 citations · 5 across the 3 of their papers we have counts for
Showing math.COShow all
3 papers · 1 filter
math.CO2007★ 1 cited
Combinatorial Gray codes for classes of pattern avoiding permutations
W. M. B. Dukes, Mark F. Flanagan, Toufik Mansour +1
The past decade has seen a flurry of research into pattern avoiding permutations but little of it is concerned with their exhaustive generation. Many applications call for exhausti…
math.CO2004★ 4 cited
The number of matroids on a finite set
W. M. B. Dukes
In this paper we highlight some enumerative results concerning matroids of low rank and prove the tail-ends of various sequences involving the number of matroids on a finite set to…
math.CO2004
Permutation statistics on involutions
W. M. B. Dukes
In this paper we look at polynomials arising from statistics on the classes of involutions, , and involutions with no fixed points, , in the symmetric group. Our results…