172 citations · 564 across the 31 of their papers we have counts for
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math.GN2017★ 23 cited
On Vietoris-Rips complexes of ellipses
Michal Adamaszek, Henry Adams, Samadwara Reddy
For a metric space and a scale parameter, the Vietoris-Rips complex (resp. ) has as its vertex set, and a finite subset as a…
math.GN2016★ 10 cited
Sweeping costs of planar domains
Brooks Adams, Henry Adams, Colin Roberts
Let D be a Jordan domain in the plane. We consider a pursuit-evasion, contamination clearing, or sensor sweep problem in which the pursuer at each point in time is modeled by a con…
math.GN2011★ 20 cited
Nudged Elastic Band in Topological Data Analysis
Henry Adams, Atanas Atanasov, Gunnar Carlsson
We use the nudged elastic band method from computational chemistry to analyze high-dimensional data. Our approach is inspired by Morse theory, and as output we produce an increasin…