English

An application of a bijection of Mansour, Deng, and Du

Combinatorics 2012-10-25 v1

Abstract

The large Schroder numbers are known to count several classes of permutations avoiding two 4-letter patterns. Here we show they count another family of permutations, those whose left to right minima decomposition, when reversed, is 321-avoiding. The main tool is the Mansour-Deng-Du bijection from 321-avoiding permutations to Dyck paths.

Keywords

Cite

@article{arxiv.1210.6455,
  title  = {An application of a bijection of Mansour, Deng, and Du},
  author = {David Callan},
  journal= {arXiv preprint arXiv:1210.6455},
  year   = {2012}
}

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4 pages