Simplification of complexes for persistent homology computations

DOI10.4310/HHA.2014.v16.n1.a3zbMath1295.55002arXiv1304.8074OpenAlexW2152391833MaRDI QIDQ2444577

Hubert Wagner, Paweł Dłotko

Publication date: 10 April 2014

Published in: Homology, Homotopy and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.8074

zbMATH Keywords

Persistent homologycoreduction

Mathematics Subject Classification ID

Software, source code, etc. for problems pertaining to algebraic topology (55-04) Combinatorics in computer science (68R05) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Relations of low-dimensional topology with graph theory (57M15) Abstract complexes in algebraic topology (55U05)

Related Items (12)

Strong collapse and persistent homology ⋮ Collapsibility and homological properties of \(\mathfrak{I}\)-contractible transformations ⋮ Path homology theory of edge-colored graphs ⋮ Homological Shape Analysis Through Discrete Morse Theory ⋮ Computing multiparameter persistent homology through a discrete Morse-based approach ⋮ Strong Collapse for Persistence ⋮ Discrete Stratified Morse Theory: Algorithms and A User's Guide ⋮ Reducing complexes in multidimensional persistent homology theory ⋮ Computational tools in weighted persistent homology ⋮ Computing Persistent Homology of Flag Complexes via Strong Collapses ⋮ Unnamed Item ⋮ Approximating persistent homology in Euclidean space through collapses

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