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.CO2025
On the foundations of signed graphs I: chain groups, frame matroid, and bivariate flow polynomial
Beifang Chen
This paper studies signed graphs with possible outer-edges. We introduce and investigate the chain group, the boundary operator, the co-boundary operator, the flow group, the tensi…