On the Vietoris-Rips Complexes of Integer Lattices

Raju Kumar Gupta, Sourav Sarkar, Samir Shukla

For a metric space $X$ and $r\ge 0$, the Vietoris-Rips complex $\mathcal{V}\mathcal{R}(X;r)$ is a simplicial complex whose simplices are finite subsets of $X$ with diameter at most $r$. Vi…