Ziqin Feng

activity

20242026

collaborators

4 papers

math.CO2026

The rational homology of independence complexes of Kneser graphs on triples

Ziqin Feng

The independence complex of the Kneser graph $\KG(n,k)$ is the simplicial complex of pairwise intersecting families of $n$ -subsets of $[2 n + k]$ ; equivalently, it is a Vietoris--Rips…

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…

math.CO2024

Exploring Homological Properties of Independent Complexes of Kneser Graphs

Ziqin Feng, Guanghui Wang

We discuss the topological properties of the independence complex of Kneser graphs, Ind(KG $(n, k))$ , with $n \geq 3$ and $k \geq 1$ . By identifying one kind of maximal simplices thro…