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math.CO2026
Linear relations for Tutte polynomials of semimatroids
Houshan Fu
We establish a family of linear relations for the coefficients of the Tutte polynomial of a semimatroid. We also introduce ranked central sets, a mild generalization of semimatroid…
math.CO2026
Partition-selected flow polynomials and associated arrangements
Beifang Chen, Ying Cao, Houshan Fu +1
We introduce a partition-selection method to generalize the flow, chromatic, and Tutte polynomials of a graph by restricting the standard edge subgraph expansions to subgraphs give…