Ziqin Feng

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20242026

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math.AT2025

Vietoris-Rips complexes of torus grids

Henry Adams, Adenike Yeside Adetowubo, Hector Barriga-Acosta +2

We study the topology of Vietoris--Rips complexes of finite grids on the torus. Let $T_{n, n}$ be the grid of $n \times n$ points on the flat torus $S^{1} \times S^{1}$ , equipped with the…

math.AT2024

Facets in the Vietoris--Rips complexes of hypercubes

Joseph Briggs, Ziqin Feng, Chris Wells

In this paper, we investigate the facets of the Vietoris--Rips complex $V R (Q_{n}; r)$ where $Q_{n}$ denotes the $n$ -dimensional hypercube. We are particularly interested in t…