1 citations · 1 across the 2 of their papers we have counts for
2 papers
math.AT2024
The connectivity of Vietoris-Rips complexes of spheres
Henry Adams, Johnathan Bush, Žiga Virk
We survey what is known and unknown about Vietoris-Rips complexes and thickenings of spheres. Afterwards, we show how to control the homotopy connectivity of Vietoris-Rips complexe…
math.CO2023★ 1 cited
Lower bounds on the homology of Vietoris-Rips complexes of hypercube graphs
Henry Adams, Žiga Virk
We provide novel lower bounds on the Betti numbers of Vietoris-Rips complexes of hypercube graphs of all dimensions, and at all scales. In more detail, let be the vertex set…