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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…
math.CO2011★ 14 cited
The enumeration of permutations avoiding 2143 and 4231
Michael Albert, M. D. Atkinson, Robert Brignall
We enumerate the pattern class Av(2143,4231) and completely describe its permutations. The main tools are simple permutations and monotone grid classes.