Harmonic Tutte polynomials of matroids
Combinatorics
2022-11-29 v3 Number Theory
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.
Keywords
Cite
@article{arxiv.2110.06472,
title = {Harmonic Tutte polynomials of matroids},
author = {Himadri Shekhar Chakraborty and Tsuyoshi Miezaki and Manabu Oura},
journal= {arXiv preprint arXiv:2110.06472},
year = {2022}
}
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16 pages