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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2508.08391 |
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| _version_ | 1866915441307287552 |
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| author | Katz, Eric |
| author_facet | Katz, Eric |
| contents | The Rota--Heron--Welsh conjecture (now a theorem of Adiprasito, Huh, and the author) asserts the log-concavity of the characteristic polynomial of matroids. We give an exposition of the Lorentzian polynomial proof following the work of Branden and Leake aimed at undergraduate and beginning graduate students. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_08391 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Volume Polynomials and Log-concavity of the Characteristic Polynomials of Matroids Katz, Eric Combinatorics The Rota--Heron--Welsh conjecture (now a theorem of Adiprasito, Huh, and the author) asserts the log-concavity of the characteristic polynomial of matroids. We give an exposition of the Lorentzian polynomial proof following the work of Branden and Leake aimed at undergraduate and beginning graduate students. |
| title | Volume Polynomials and Log-concavity of the Characteristic Polynomials of Matroids |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2508.08391 |