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math.CO2023
Convolution formulas for multivariate arithmetic Tutte polynomials
Tianlong Ma, Xian'an Jin, Weiling Yang
The multivariate arithmetic Tutte polynomial of arithmetic matroids is a generalization of the multivariate Tutte polynomial of matroids. In this note, we give the convolution form…
math.CO2023
Extreme coefficients of multiplicity Tutte polynomials
Xian'an Jin, Tianlong Ma, Weiling Yang
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 ex…