On the Longest $k$-Alternating Subsequence

  • Igor Pak
  • Robin Pemantle

Abstract

We show that the longest $k$-alternating substring of a random permutation has length asymptotic to $2(n-k)/3$.

Author Biographies

Igor Pak, University of California at Los Angeles
Department of Mathematics
Robin Pemantle, University of Pennsylvania
Department of Mathematics
Published
2015-02-25
Article Number
P1.48