130 citations · 2k across the 94 of their papers we have counts for
5 papers · 1 filter
1324-avoiding permutations revisited
Andrew R. Conway, Anthony J. Guttmann, Paul Zinn-Justin
We give an improved algorithm for counting the number of -avoiding permutations, resulting in further terms of the generating function, which is now known for all patter…
Counting Planar Eulerian Orientations
Andrew Elvey Price, Anthony J Guttmann
Inspired by the paper of Bonichon, Bousquet-Mélou, Dorbec and Pennarun, we give a system of functional equations which characterise the ordinary generating function, for th…
Numerical studies of Thompson's group F and related groups
Andrew Elvey Price, Anthony J Guttmann
We have developed polynomial-time algorithms to generate terms of the cogrowth series for groups the lamplighter group, $(\mathbb{Z}\wr \mathbb{Z})\wr \…
On consecutive pattern-avoiding permutations of length 4, 5 and beyond
Nicholas R Beaton, Andrew R Conway, Anthony J Guttmann
We review and extend what is known about the generating functions for consecutive pattern-avoiding permutations of length 4, 5 and beyond, and their asymptotic behaviour. There are…
Polygons pulled from an adsorbing surface
AJ Guttmann, EJ Janse van Rensburg, I Jensen +1
We consider self-avoiding lattice polygons, in the hypercubic lattice, as a model of a ring polymer adsorbed at a surface and either being desorbed by the action of a force, or pus…