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math.CO2026
The Tutte polynomial determines the linear coefficient of the Ehrhart polynomial
Erik Panzer
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 coef…
math.CO2023
Feynman symmetries of the Martin and invariants of regular graphs
Erik Panzer, Karen Yeats
For every regular graph, we define a sequence of integers, using the recursion of the Martin polynomial. This sequence counts spanning tree partitions and constitutes the diagonal…