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arXiv · 1203.5948

A partial order structure on interval orders

Filippo Disanto·Luca Ferrari·Simone Rinaldi
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Abstract

We introduce a partial order structure on the set of interval orders of a given size, and prove that such a structure is in fact a lattice. We also provide a way to compute meet and join inside this lattice. Finally, we show that, if we restrict to series parallel interval order, what we obtain is the classical Tamari poset.

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Filippo Disanto, Luca Ferrari, Simone Rinaldi. 2012-03-27. A partial order structure on interval orders. https://arxiv.org/abs/1203.5948

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