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math.CO2010
Equivalence classes of permutations avoiding a pattern
Henning Ulfarsson
Given a permutation pattern p and an equivalence relation on permutations, we study the corresponding equivalence classes all of whose members avoid p. Four relations are studied:…
math.CO2010
A unification of permutation patterns related to Schubert varieties
Henning Úlfarsson
We obtain new connections between permutation patterns and singularities of Schubert varieties, by giving a new characterization of Gorenstein varieties in terms of so called bivin…