Harmonic Tutte polynomials of matroids

Published 13 Oct 2021 in math.CO and math.NT | (2110.06472v3)

Abstract: In the present paper, we introduce the concept of harmonic Tutte polynomials of matroids and discuss some of their properties. In particular, we generalize Greene's theorem, thereby expressing harmonic weight enumerators of codes as evaluations of harmonic Tutte polynomials.

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