Extreme coefficients of multiplicity Tutte polynomials

Tianlong Ma, Weiling Yang, Xian'an Jin

Published 2023-06-11Version 1

The multiplicity Tutte polynomial including the arithmetic Tutte polynomial is a generalization of classical Tutte polynomial of matroids. In this paper, we obtain the expressions of six extreme coefficients of multiplicity Tutte polynomials. In particular, as corollaries, the expressions of corresponding extreme coefficients of Tutte polynomial for matroids are deduced.