English

Average length of the longest $k$-alternating subsequence

Combinatorics 2015-02-06 v1

Abstract

We prove a conjecture of Drew Armstrong on the average maximal length of kk-alternating subsequence of permutations. The k=1k=1 case is a well-known result of Richard Stanley.

Cite

@article{arxiv.1502.01543,
  title  = {Average length of the longest $k$-alternating subsequence},
  author = {Tommy Wuxing Cai},
  journal= {arXiv preprint arXiv:1502.01543},
  year   = {2015}
}

Comments

7 pages

R2 v1 2026-06-22T08:22:53.353Z