Mixed volumes of matroids
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866911844876156928 |
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| author | Hsiao, Andy Karu, Kalle Yang, Jonathan |
| author_facet | Hsiao, Andy Karu, Kalle Yang, Jonathan |
| contents | Our aim in this article is to compute the mixed volume of a matroid. We give two computations. The first one is based on the integration formula for complete fans given by Brion. The second computation is a step-by-step method using deletion of elements in the matroid as in Braden-Huh-Matherne-Proudfoot-Wang. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_11837 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Mixed volumes of matroids Hsiao, Andy Karu, Kalle Yang, Jonathan Combinatorics 52B40 (Primary). 52A39, 14M25 (Secondary) Our aim in this article is to compute the mixed volume of a matroid. We give two computations. The first one is based on the integration formula for complete fans given by Brion. The second computation is a step-by-step method using deletion of elements in the matroid as in Braden-Huh-Matherne-Proudfoot-Wang. |
| title | Mixed volumes of matroids |
| topic | Combinatorics 52B40 (Primary). 52A39, 14M25 (Secondary) |
| url | https://arxiv.org/abs/2404.11837 |