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Anders Claesson: Interval orders via combinatorial species and ballot matrices

Tid: On 2015-11-25 kl 10.15 - 11.15

Plats: Room 3418

Medverkande: Anders Claesson, Univ. of Strathclyde

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Abstract:

We give a brief introduction to (some aspects of) combinatorial species.
Using this framework we introduce ballot matrices and present a subset
of them that is in bijection with labeled interval orders. Such ballot
matrices decompose naturally into a pair of permutations with related
properties. This allows for a new formula for the number of labeled
interval orders.

The talk is based on joint work with Stuart Hannah.