Beifang Chen

activity

20072026

most citedQuadrangular embeddings of complete graphs and the Even Map Color Theorem (with details)

10 citations · 15 across the 13 of their papers we have counts for

collaborators

13 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 $L (P, t)$ of a rational $n$ -polytope $P$ , defined as the number of lattice points of dilated polytopes $tP$ with real numbers $t \geq 0$ .…

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…

math.CO2018★ 2 cited

Determination of the 4-genus of a complete graph (with an appendix)

Serge Lawrencenko, Beifang Chen, Hui Yang

In this paper, the quadrangular genus (4-genus) of the complete graph $K_{p}$ is shown to be $γ_{4} (K_{p}) = ⌈ p (p - 5) / 8 ⌉ + 1$ for orientable surfaces. This means that $K_p…

math.CO2018

Parallel Translates of Represented Matroids

Beifang Chen, Houshan Fu, Suijie Wang

Given an $F$ -represented matroid $(M, ρ)$ with the ground set $[m]$ , the representation $ρ$ naturally defines a hyperplane arrangement $A_{ρ}$ . We will study its paral…

math.CO2017

Resolution of Indecomposable Integral Flows on Signed Graphs

Beifang Chen, Jue Wang, Thomas Zaslavsky

It is well known that each nonnegative integral flow on a graph can be decomposed into a sum of nonnegative graphic circuit flows, which cannot be further decomposed into nonnegati…