Yanru Chen

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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

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.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…