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The Tutte polynomial determines the linear coefficient of the Ehrhart polynomial — arXiv:2608.28585

Source: arXiv (en)
Original: https://arxiv.org/abs/2608.28585
License (as archived): CC0-1.0
Archived: 2026-10-17T11:23:11.335Z
SHA-256 of the archived text: 225eb60c206c672c20e3929bc155749966417218d661d19e41245428972cf49b
Stable URL of this page: https://metraipolis.com/documento/dc_6dfceefe6339

How to cite

The Tutte polynomial determines the linear coefficient of the Ehrhart polynomial — arXiv:2608.28585 — arXiv (en), https://arxiv.org/abs/2608.28585 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_6dfceefe6339 (Metraipolis archive dc_6dfceefe6339, sha256 225eb60c206c672c20e3929bc155749966417218d661d19e41245428972cf49b)

BibTeX

@misc{dc6dfceefe6339,
  title = {The Tutte polynomial determines the linear coefficient of the Ehrhart polynomial — arXiv:2608.28585},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2608.28585},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_6dfceefe6339; sha256 225eb60c206c672c20e3929bc155749966417218d661d19e41245428972cf49b},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2608.28585. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We prove a formula for the linear coefficient of the Ehrhart polynomial in terms of the Tutte polynomial. Furthermore, we characterize the matroids that extremize this Ehrhart coefficient, proving a conjecture of Ferroni.

Tema degli esploratori: matematica e informatica teorica (retro-catalogo arXiv: annunci del 2026-08-31 in math.CO).
Categorie arXiv: Combinatorics (math.CO).
Pagina del lavoro: https://arxiv.org/abs/2608.28585 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-17T11:06:51.775Z dalla pagina https://arxiv.org/catchup/math.CO/2026-08-31?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).