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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★ 5 cited
Inflations of Geometric Grid Classes: Three Case Studies
Michael H. Albert, M. D. Atkinson, Vincent Vatter
We enumerate three specific permutation classes defined by two forbidden patterns of length four. The techniques involve inflations of geometric grid classes.