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 $\mathcal{V}\mathcal{R}(Q_n;r)$ where $Q_n$ denotes the $n$-dimensional hypercube. We are particularly interested in t…