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A partial order structure on interval orders

Published 27 Mar 2012 in math.CO and cs.DM | (1203.5948v1)

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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