Deformation Cones of Hypergraphic Polytopes
Overview & Synopsis
A hypergraphic polytope is a Minkowski sum of faces of the standard simplex. We study deformations of two fundamental families of hypergraphic polytopes: the graphical zonotopes and the nestohedra. Namely, we provide irredundant facet descriptions for the deformation cones of these polytopes. Moreover, we show that the faces of the standard simplex contained in the deformation cone provide a linear basis of its vector span, a result that extends to any hypergraphic polytope.
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hal.science)
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Document Information
| Document Title | Deformation Cones of Hypergraphic Polytopes |
|---|---|
| Author / Organization | Arnau Padrol, Vincent Pilaud, Germain Poullot |
| Subject & Discipline | Multidisciplinary Academic Open Research |
| Categories | Science & Mathematics |
| Publication Year | 2022 |
| License / Rights | Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
HAL Open Science
(hal.science)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-216876 |
| Original Source Link | Visit Source Page on hal.science » |