Yanru Chen

collaborators

5 papers

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

Ideal Decomposition of Hyperplane Arrangements

Yanru Chen, Weikang Liang, Suijie Wang +1

Let $A$ be an affine hyperplane arrangement, $L (A)$ its intersection poset, and $I ¨ _{A} (t)$ its characteristic polynomial. This paper aims to propose…

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…