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math.CO2012★ 1 cited
Large infinite antichains of permutations
Michael H. Albert, Robert Brignall, Vincent Vatter
Infinite antichains of permutations have long been used to construct interesting permutation classes and counterexamples. We prove the existence and detail the construction of infi…
math.CO2012
The enumeration of three pattern classes
M. H. Albert, M. D. Atkinson, Robert Brignall
The structure of three pattern classes Av(2143, 4321), Av(2143, 4312) and Av(1324, 4312) is determined using the machinery of monotone grid classes. This allows the permutations in…