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Article Dans Une Revue European Journal of Combinatorics Année : 2023

Deformation cones of graph associahedra and nestohedra

Résumé

We give the facet description of the deformation cones of graph associahedra and nestohedra, generalizing the classical parametrization of the family of deformed permutahedra by the cone of submodular functions. When the underlying building set is made of intervals, this yields in particular to the construction of kinematic nestohedra generalizing the kinematic associahedra that recently appeared in the theory of scattering amplitudes.
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hal-03451465 , version 1 (26-11-2021)

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Arnau Padrol, Vincent Pilaud, Germain Poullot. Deformation cones of graph associahedra and nestohedra. European Journal of Combinatorics, 2023, 107, pp.103594. ⟨10.1016/j.ejc.2022.103594⟩. ⟨hal-03451465⟩
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