Houshan Fu

activity

20202026

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Showing 2024Show all

4 papers · 1 filter

math.CO2024

Level of Regions for Deformed Braid Arrangements

Yanru Chen, Houshan Fu, Suijie Wang +1

This paper primarily investigates a specific type of deformation of the braid arrangement $B_{n}$ in $R^{n}$ , denoted by $B_{n}^{A}$ and defined in (1.2). Let…

math.CO2024

Counting Flows of $b$ -compatible Graphs

Houshan Fu, Xiangyu Ren, Suijie Wang

Kochol introduced the assigning polynomial $F (G, α; k)$ to count nowhere-zero $(A, b)$ -flows of a graph $G$ , where $A$ is a finite Abelian group and $α$ is a ${0, 1}$ -assigning from…

math.CO2024

Two Bijections on NBC Subsets

Houshan Fu, Baoren Peng, Suijie Wang +1

We establish two explicit bijections: from acyclic reorientations of an oriented matroid to no broken circuit (NBC) subsets of its underlying matroid, and from regions of a real hy…

math.CO2024

Deformed Intersections of Half-spaces

Houshan Fu, Boxuan Li, Chunming Tang +1

This paper is devoted to the classification problems concerning extended deformations of convex polyhedra and real hyperplane arrangements in the following senses: combinatorial eq…

Level of Regions for Deformed Braid Arrangements

Counting Flows of b-compatible Graphs

Two Bijections on NBC Subsets

Deformed Intersections of Half-spaces

Counting Flows of $b$ -compatible Graphs