3 papers
math.CO2026
On the Greedoid Tutte Polynomial for simple rooted graphs
Jianxuan Luo, Tingzeng Wu, Hong-Jian Lai
The Tutte polynomial, through its rank-generating formula, provides a unified framework for describing various combinatorial structures of graphs and matroids, and serves as an imp…
math.CO2026
Coefficients of univariate Tutte polynomials with one variable fixed
Tianlong Ma, Xiaxia Guan, Xian'an Jin +1
It is well known that the 2-variable Tutte polynomial of a graph includes chromatic polynomial and flow polynomial of , i.e. the cases of and . In 2013, Kálmán…
math.CO2026
On the characterizations of
Jing Zeng, Lihua You, Xinghui Zhao +1
The determinant of a tournament , denoted by , is defined as the determinant of the skew-adjacency matrix of . It is well-known that is equal to if …