Vietoris-Rips complexes of planar point sets
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Publication:977181
DOI10.1007/s00454-009-9209-8zbMath1231.05306arXiv0712.0395OpenAlexW1980200998MaRDI QIDQ977181
Jeff Erickson, Vin De Silva, Erin Wolf Chambers, Robert W. Ghrist
Publication date: 21 June 2010
Published in: Discrete \& Computational Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0712.0395
Related Items (18)
The Vietoris-Rips complexes of a circle ⋮ Geometric Approaches to Persistent Homology ⋮ Bestvina–Brady discrete Morse theory and Vietoris–Rips complexes ⋮ The Persistent Homology of Cyclic Graphs ⋮ On the Reconstruction of Geodesic Subspaces of ℝN ⋮ Footprints of geodesics in persistent homology ⋮ On Vietoris-Rips complexes of hypercube graphs ⋮ On homotopy types of Euclidean Rips complexes ⋮ Vietoris-Rips complexes of metric spaces near a metric graph ⋮ On Vietoris–Rips Complexes (with Scale 3) of Hypercube Graphs ⋮ Random geometric complexes ⋮ Geometry-driven collapses for converting a Čech complex into a triangulation of a nicely triangulable shape ⋮ Metric thickenings of Euclidean submanifolds ⋮ Mayer-Vietoris sequences and coverage problems in sensor networks ⋮ Complexity of simplicial homology and independence complexes of chordal graphs ⋮ Extremal Betti numbers of Vietoris-Rips complexes ⋮ Distributed computation of coverage in sensor networks by homological methods ⋮ Unnamed Item
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