Suijie Wang

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20242026

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10 papers · 1 filter

math.CO2026

Interval Deformations of Coxeter Arrangements

Yanru Chen, Ang Li, Suijie Wang

We study integer-interval deformations of Coxeter arrangements of types $A$ , $B$ , and $D$ , assigning an integer interval to each root direction through an integer-valued root funct…

math.CO2026

Log-Concavity of Conic Intrinsic Volumes

Houshan Fu, Suijie Wang

Let $n \geq 1$ and $C \subseteq R^{n}$ be a closed convex cone with conic intrinsic volumes $v_{0} (C), \dots, v_{n} (C)$ . We prove the long-standing log-concavity conjecture for this s…

math.CO2026

Characteristic Polynomials of Graph- and Digraph-Deleted Catalan Arrangements

Yanru Chen, Ang Li, Suijie Wang

We develop a finite-field stratification for characteristic polynomials of deletion subarrangements of the full $m$ -Catalan arrangement. It reduces the count to cyclic placements o…

math.CO2026

Convolution-type Identity for Characteristic Polynomials of Geometric Semilattices

Yanru Chen, Houshan Fu, Ang Li +1

We establish a convolution formula for the characteristic polynomial of a finite geometric semilattice $M$ : \[ χ(M,st)=\sum_{X\in \underline{M}} s^{r-{\rm rk}_{\underline{M}}(X)}χ(…

math.CO2025

A decomposition of Grassmannian associated with a hyperplane arrangement

Houshan Fu, Weikang Liang, Suijie Wang

The Grassmannian, which is the manifold of all $k$ -dimensional subspaces in the Euclidean space $R^{n}$ , was decomposed through three equivalent methods connecting combinato…

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

Level Decompositions for Symmetric Deformations of the Braid Arrangement

Yanru Chen, Suijie Wang, Jinxing Yang +1

Let $A \subseteq R_{\geq 0}$ be finite and nonempty, and let $A^{A} = (A_{1}^{A}, A_{2}^{A}, \dots)$ be the associated sequence of symmetric deformations of t…

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…

Interval Deformations of Coxeter Arrangements

Log-Concavity of Conic Intrinsic Volumes

Characteristic Polynomials of Graph- and Digraph-Deleted Catalan Arrangements

Convolution-type Identity for Characteristic Polynomials of Geometric Semilattices

A decomposition of Grassmannian associated with a hyperplane arrangement

Level of Regions for Deformed Braid Arrangements

Level Decompositions for Symmetric Deformations of the Braid Arrangement

Counting Flows of b-compatible Graphs

Two Bijections on NBC Subsets

Deformed Intersections of Half-spaces

Counting Flows of $b$ -compatible Graphs