Extreme coefficients of multiplicity Tutte polynomials
Combinatorics
2024-02-06 v2
Abstract
The multiplicity Tutte polynomial, which includes the arithmetic Tutte polynomial, is a generalization of the classical Tutte polynomial of matroids. In this paper, we obtain an expression of the general coefficient and the expressions of six extreme coefficients of multiplicity Tutte polynomials. In particular, an expression of the general coefficient and the expressions of corresponding extreme coefficients of classical Tutte polynomial of matroids are deduced.
Keywords
Cite
@article{arxiv.2306.06568,
title = {Extreme coefficients of multiplicity Tutte polynomials},
author = {Xian'an Jin and Tianlong Ma and Weiling Yang},
journal= {arXiv preprint arXiv:2306.06568},
year = {2024}
}