The embedded homology of hypergraphs and applications
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Publication:2312595
DOI10.4310/AJM.2019.v23.n3.a6zbMath1432.55032arXiv1610.00890MaRDI QIDQ2312595
Jingyan Li, Shiquan Ren, Stéphane Bressan, Jie Wu
Publication date: 17 July 2019
Published in: The Asian Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.00890
Persistent homology and applications, topological data analysis (55N31) Database theory (68P15) Hypergraphs (05C65) Data structures (68P05) Simplicial sets and complexes in algebraic topology (55U10) Chain complexes in algebraic topology (55U15)
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Aspects of topological approaches for data science ⋮ Homology of weighted path complexes and directed hypergraphs ⋮ Discrete differential calculus on simplicial complexes and constrained homology ⋮ What Are Higher-Order Networks? ⋮ Random hypergraphs, random simplicial complexes and their Künneth-type formulae ⋮ Persistent hyperdigraph homology and persistent hyperdigraph Laplacians ⋮ Homotopy and Hom construction in the category of finite hypergraphs ⋮ Persistent homology for hypergraphs and computational tools — A survey for users ⋮ A Künneth formula for finite sets ⋮ Hypergraph topology ⋮ HERMES: persistent spectral graph software ⋮ Neighborhood hypergraph model for topological data analysis ⋮ The embedded homology of hypergraph pairs
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