Weikang Liang

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20242026

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3 papers · 1 filter

math.CO2026

Nice Partitions, Supersolvability, and Freeness in Deformations of Graphic Arrangements

Weikang Liang, Suijie Wang, Yue Zhou

We study affine deformations $A (G_{S})$ of graphic arrangements and their cones. Here $G = ([n], E (G))$ is a simple graph, $S = (S_{ij})$ is a family of fi…

math.CO2026

Freeness of Arrangements with Regular Underlying Matroids

Weikang Liang, Suijie Wang

We classify freeness for finite central arrangements whose underlying matroids are regular. Let $A$ be such an arrangement over an arbitrary field, and put $M=M(\mathcal A…

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…