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arXiv · 1108.5690

On a Subposet of the Tamari Lattice

Sebastian A. Csar·Rik Sengupta·Warut Suksompong
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Abstract

We explore some of the properties of a subposet of the Tamari lattice introduced by Pallo, which we call the comb poset. We show that three binary functions that are not well-behaved in the Tamari lattice are remarkably well-behaved within an interval of the comb poset: rotation distance, meets and joins, and the common parse words function for a pair of trees. We relate this poset to a partial order on the symmetric group studied by Edelman.

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Sebastian A. Csar, Rik Sengupta, Warut Suksompong. 2013-09-15. On a Subposet of the Tamari Lattice. https://doi.org/10.1007/s11083-013-9305-5

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