English

Bijections on two variations of noncrossing partitions

Combinatorics 2011-08-30 v3

Abstract

We find bijections on 2-distant noncrossing partitions, 12312-avoiding partitions, 3-Motzkin paths, UH-free Schr{\"o}der paths and Schr{\"o}der paths without peaks at even height. We also give a direct bijection between 2-distant noncrossing partitions and 12312-avoiding partitions.

Keywords

Cite

@article{arxiv.0812.4091,
  title  = {Bijections on two variations of noncrossing partitions},
  author = {Jang Soo Kim},
  journal= {arXiv preprint arXiv:0812.4091},
  year   = {2011}
}

Comments

10 pages, 9 figures, final version