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pro vyhledávání: '"Poullot, Germain"'
Autor:
Poullot, Germain
The monotone path polytope of a polytope $P$ encapsulates the combinatorial behavior of the shadow vertex rule (a pivot rule used in linear programming) on $P$. On the other hand, computing monotone path polytopes is the entry door to the larger subj
Externí odkaz:
http://arxiv.org/abs/2411.14102
Autor:
Pilaud, Vincent, Poullot, Germain
We provide a piecewise linear isomorphism from the normal fan of the pivot polytope of a product of simplices to the normal fan of a shuffle of associahedra.
Comment: 7 pages, 1 figure
Comment: 7 pages, 1 figure
Externí odkaz:
http://arxiv.org/abs/2410.12658
Autor:
Poullot, Germain
In this paper, we compute a triangulation of certain faces of the submodular cone. More precisely, graphical zonotopes are generalized permutahedra, and hence are associated to faces of the submodular cone. We give a triangulation of these faces for
Externí odkaz:
http://arxiv.org/abs/2404.02669
We study deformations of graphical zonotopes. Deformations of the classical permutahedron (which is the graphical zonotope of the complete graph) have been intensively studied in recent years under the name of generalized permutahedra. We provide an
Externí odkaz:
http://arxiv.org/abs/2111.12422
Publikováno v:
European J. Combin., 107:103594, 2023
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 ma
Externí odkaz:
http://arxiv.org/abs/2109.09200
Publikováno v:
In European Journal of Combinatorics January 2023 107
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