A partial order structure on interval orders

Mathematics – Combinatorics

Scientific paper

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12 pages

Scientific paper

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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