Homology of path complexes and hypergraphs

DOI10.1016/j.topol.2019.106877zbMath1422.05076OpenAlexW2971790374MaRDI QIDQ2329347

Alexander Grigor'yan, Rolando Jiménez, Yurij V. Muranov, Shing Tung Yau

Publication date: 17 October 2019

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2019.106877

zbMATH Keywords

simplicial complexgraph homologypath complexhomotopy of path complexespath homology of hypergraphs

Mathematics Subject Classification ID

Related Items (6)

Aspects of topological approaches for data science ⋮ Homology of weighted path complexes and directed hypergraphs ⋮ Magnitude homology and path homology ⋮ Persistent path Laplacian ⋮ Homotopy and Hom construction in the category of finite hypergraphs ⋮ Existence and uniqueness of solutions to the norm minimum problem on digraphs

Cites Work

• Unnamed Item
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• A category-theoretical approach to hypergraphs
• On the path homology theory of digraphs and Eilenberg-Steenrod axioms
• Graphs associated with simplicial complexes
• Cohomology of digraphs and (undirected) graphs
• Homologies of digraphs and Künneth formulas
• A survey on hypergraph products
• Homotopy theory for digraphs
• Homotopy theory of graphs
• Foundations of a connectivity theory for simplicial complexes

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