A higher-dimensional homologically persistent skeleton

DOI10.1016/j.aam.2018.07.004zbMath1423.55008arXiv1701.08395OpenAlexW3103070098WikidataQ129140345 ScholiaQ129140345MaRDI QIDQ1631454

Davorin Lešnik, Vitaliy Kurlin, Sara Kališnik Verovšek

Publication date: 6 December 2018

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.08395

zbMATH Keywords

topological data analysispersistent homologypoint cloud

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Other homology theories in algebraic topology (55N35) Homological algebra in category theory, derived categories and functors (18G99) Combinatorial aspects of simplicial complexes (05E45)

Related Items (5)

Networks beyond pairwise interactions: structure and dynamics ⋮ Harmonic representatives in homology over arbitrary fields ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A Fast Approximate Skeleton with Guarantees for Any Cloud of Points in a Euclidean Space

Cites Work

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• On the shortest spanning subtree of a graph and the traveling salesman problem
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• Enumeration of \({\mathbb{Q}}\)-acyclic simplicial complexes
• On the local behavior of spaces of natural images
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• Graph induced complex on point data
• Simplicial and cellular trees
• Topology and data
• Simplical Geometry and Transportation Polytopes
• Topological pattern recognition for point cloud data
• Minimum spanning acycle and lifetime of persistent homology in the Linial-Meshulam process
• Barcodes: The persistent topology of data

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