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Poset vectors and generalized permutohedra

Abstract : We show that given a poset $P$ and and a subposet $Q$, the integer points obtained by restricting linear extensions of $P$ to $Q$ can be explained via integer lattice points of a generalized permutohedron.
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https://hal.inria.fr/hal-01229734
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Dorian Croitoru, Suho Oh, Alexander Postnikov. Poset vectors and generalized permutohedra. 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013), 2013, Paris, France. pp.503-514, ⟨10.46298/dmtcs.2319⟩. ⟨hal-01229734⟩

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