Yanru Chen

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20242026

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6 papers · 1 filter

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 $M$ : \[ Ï(M,st)=\sum_{X\in \underline{M}} s^{r-{\rm rk}_{\underline{M}}(X)}Ï…

math.CO2026

Modular Ideals and Factorizations of Affine Hyperplane Arrangements

Yanru Chen, Weikang Liang, Suijie Wang +1

Let $A$ be an affine hyperplane arrangement, let $L (A)$ be its intersection semilattice, and let $χ_{A} (t)$ be its characteristic polynomial. We intro…

math.CO2026

Level of Faces for Exponential Sequence of Arrangements

Yanru Chen, Houshan Fu, Weikang Liang +1

In this paper, we introduce the bivariate exponential generating function $F_{l} (x, y)$ for the number of level- $l$ faces of an exponential sequence of arrangements (ESA), and establi…

math.CO2025

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

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…