Extreme coefficients of multiplicity Tutte polynomials

Fuente: arXiv
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Auteurs principaux: Jin, Xian'an, Ma, Tianlong, Yang, Weiling
Format: Preprint
Publié: 2023
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author Jin, Xian'an
Ma, Tianlong
Yang, Weiling
author_facet Jin, Xian'an
Ma, Tianlong
Yang, Weiling
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2306_06568
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Extreme coefficients of multiplicity Tutte polynomials
Jin, Xian'an
Ma, Tianlong
Yang, Weiling
Combinatorics
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.
title Extreme coefficients of multiplicity Tutte polynomials
topic Combinatorics
url https://arxiv.org/abs/2306.06568