English

Combinatorial study on the group of parity alternating permutations

Combinatorics 2017-06-13 v2

Abstract

The combinatorial theory for the set of parity alternating permutations is expounded. In view of the numbers of ascents and inversions, several enumerative aspects of the set are investigated. In particular, it is shown that signed Eulerian numbers have intimate relationships to the set.

Keywords

Cite

@article{arxiv.0812.1839,
  title  = {Combinatorial study on the group of parity alternating permutations},
  author = {Shinji Tanimoto},
  journal= {arXiv preprint arXiv:0812.1839},
  year   = {2017}
}

Comments

10 pages

R2 v1 2026-06-21T11:50:08.876Z