Equipopularity Classes in the Separable Permutations

  • Michael Albert
  • Cheyne Homberger
  • Jay Pantone
Keywords: Separable Permutations, Equipopularity

Abstract

When two patterns occur equally often in a set of permutations, we say that these patterns are equipopular. Using both structural and analytic tools, we classify the equipopular patterns in the set of separable permutations. In particular, we show that the number of equipopularity classes for length $n$ patterns in the separable permutations is equal to the number of partitions of $n-1$.

Published
2015-04-14
Article Number
P2.2