3 papers
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…
math.CO2026
Ehrhart quasi-polynomials of rational polytopes by real dilations
Ying Cao, Beifang Chen
This paper is to study the Ehrhart function of a rational -polytope , defined as the number of lattice points of dilated polytopes with real numbers .…
math.CO2026
Characteristic quasi-polynomials of truncated arrangements
Ying Cao, Houshan Fu
Given an (affine) integral arrangement in , the reduction of modulo an arbitrary positive integer naturally yields an arrangement $\ma…