Ziqin Feng

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20242026

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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.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…