The Chow and augmented Chow polynomials of uniform matroids
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866913590983786496 |
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| author | Hoster, Elena |
| author_facet | Hoster, Elena |
| contents | We provide explicit combinatorial formulas for the Chow polynomial and for the augmented Chow polynomial of uniform matroids, thereby proving a conjecture by Ferroni. These formulas refine existing formulas by Hampe and by Eur, Huh, and Larson, offering a combinatorial interpretation of the coefficients based on Schubert matroids. As a byproduct, we count Schubert matroids by rank, number of loops, and cogirth. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_22329 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Chow and augmented Chow polynomials of uniform matroids Hoster, Elena Combinatorics We provide explicit combinatorial formulas for the Chow polynomial and for the augmented Chow polynomial of uniform matroids, thereby proving a conjecture by Ferroni. These formulas refine existing formulas by Hampe and by Eur, Huh, and Larson, offering a combinatorial interpretation of the coefficients based on Schubert matroids. As a byproduct, we count Schubert matroids by rank, number of loops, and cogirth. |
| title | The Chow and augmented Chow polynomials of uniform matroids |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2410.22329 |