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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.
math.CO2011★ 2 cited
Geometric grid classes of permutations
Michael H. Albert, M. D. Atkinson, Mathilde Bouvel +2
A geometric grid class consists of those permutations that can be drawn on a specified set of line segments of slope \pm1 arranged in a rectangular pattern governed by a matrix. Us…