On a Conjecture Concerning the Roots of Ehrhart Polynomials of Symmetric Edge Polytopes from Complete Multipartite Graphs
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916189658152960 |
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| author | Kölbl, Max |
| author_facet | Kölbl, Max |
| contents | In [7], Higashitani, Kummer, and Michałek pose a conjecture about the symmetric edge polytopes of complete multipartite graphs and confirm it for a number of families in the bipartite case. We confirm that conjecture for a number of new classes following the authors' methods and we present a more general result which suggests that the methods in their current form might not be enough to prove the conjecture in full generality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_02136 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On a Conjecture Concerning the Roots of Ehrhart Polynomials of Symmetric Edge Polytopes from Complete Multipartite Graphs Kölbl, Max Combinatorics 05A15, 52B12 (primary) 13P10, 26C10, 52B20 (secondary) In [7], Higashitani, Kummer, and Michałek pose a conjecture about the symmetric edge polytopes of complete multipartite graphs and confirm it for a number of families in the bipartite case. We confirm that conjecture for a number of new classes following the authors' methods and we present a more general result which suggests that the methods in their current form might not be enough to prove the conjecture in full generality. |
| title | On a Conjecture Concerning the Roots of Ehrhart Polynomials of Symmetric Edge Polytopes from Complete Multipartite Graphs |
| topic | Combinatorics 05A15, 52B12 (primary) 13P10, 26C10, 52B20 (secondary) |
| url | https://arxiv.org/abs/2404.02136 |