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The Tutte polynomial determines the linear coefficient of the Ehrhart polynomial

Year: 2026
Type: preprint
Abstract: 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.
Author: Panzer, Erik
Language: English
Open Access status: green
OpenAlex ID: W7204777779
Cites: 18
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Related to: 10