13 citations · 28 across the 4 of their papers we have counts for
4 papers
Growth rates for subclasses of Av(321)
M. H. Albert, M. D. Atkinson, R. Brignall +3
Pattern classes which avoid 321 and other patterns are shown to have the same growth rates as similar (but strictly larger) classes obtained by adding articulation points to any or…
Wreath Products of Permutation Classes
Robert Brignall
A permutation class which is closed under pattern involvement may be described in terms of its basis. The wreath product construction X \wr Y of two permutation classes X and Y is…
Simple permutations: decidability and unavoidable substructures
Robert Brignall, Nik Ruskuc, Vince Vatter
We prove that it is decidable if a finitely based permutation class contains infinitely many simple permutations, and establish an unavoidable substructure result for simple permut…
Simple permutations and algebraic generating functions
Robert Brignall, Sophie Huczynska, Vincent Vatter
A simple permutation is one that does not map a nontrivial interval onto an interval. It was recently proved by Albert and Atkinson that a permutation class with only finitely simp…