Bijections on two variations of noncrossing partitions

Details Bijections on two variations of noncrossing partitions Bijections on two variations of noncrossing partitions

2008-12-22

arxiv.org/abs/0812.4091v3

Discrete Math. 311 (2011) 1057-1063

Mathematics

Combinatorics

10 pages, 9 figures, final version

Scientific paper

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.

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