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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2402.09914 |
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| _version_ | 1866912144148135936 |
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| author | Leipold, Karla Vallentin, Frank |
| author_facet | Leipold, Karla Vallentin, Frank |
| contents | The Ekeland-Hofer-Zehnder capacity (EHZ capacity) is a fundamental symplectic invariant of convex bodies. We show that computing the EHZ capacity of polytopes is NP-hard. For this we reduce the feedback arc set problem in bipartite tournaments to computing the EHZ capacity of simplices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_09914 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Computing the EHZ capacity is NP-hard Leipold, Karla Vallentin, Frank Symplectic Geometry Computational Complexity Combinatorics The Ekeland-Hofer-Zehnder capacity (EHZ capacity) is a fundamental symplectic invariant of convex bodies. We show that computing the EHZ capacity of polytopes is NP-hard. For this we reduce the feedback arc set problem in bipartite tournaments to computing the EHZ capacity of simplices. |
| title | Computing the EHZ capacity is NP-hard |
| topic | Symplectic Geometry Computational Complexity Combinatorics |
| url | https://arxiv.org/abs/2402.09914 |