Graphs associated with simplicial complexes

DOI10.4310/HHA.2014.v16.n1.a16zbMath1297.05269OpenAlexW1980195979MaRDI QIDQ740181

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

Publication date: 2 September 2014

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

Full work available at URL: https://projecteuclid.org/euclid.hha/1401800084

zbMATH Keywords

simplicial complexcubical complexsimplicial homologycohomology of digraphscubical digraphpath complex of a digraph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Relations of low-dimensional topology with graph theory (57M15) Discrete geometry (52C99) Simplicial sets and complexes in algebraic topology (55U10) Directed graphs (digraphs), tournaments (05C20) Combinatorial aspects of simplicial complexes (05E45)

Related Items (13)

Aspects of topological approaches for data science ⋮ Alexandroff homology and path homology ⋮ Path homology theory of edge-colored graphs ⋮ On homology theories of cubical digraphs ⋮ Singular cell homology ⋮ Homologies of transitive digraphs and discrete spaces;Гомологии транзитивных орграфов и дискретных пространств ⋮ Simplicial approach to path homology of quivers, marked categories, groups and algebras ⋮ Path complexes and their homologies ⋮ On a cohomology of digraphs and Hochschild cohomology ⋮ Path homology theory of multigraphs and quivers ⋮ Homology of digraphs ⋮ Analysis and stochastic processes on metric measure spaces ⋮ Homology of path complexes and hypergraphs

This page was built for publication: Graphs associated with simplicial complexes