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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★ 2 cited
On the maximum local mean order of sub-k-trees of a k-tree
Zhuo Li, Tianlong Ma, Fengming Dong +1
For a k-tree T, a generalization of a tree, the local mean order of sub-k-trees of T is the average order of sub-k-trees of T containing a given k-clique. The problem whether the l…
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…