Homotopy theory for digraphs

DOI10.4310/PAMQ.2014.v10.n4.a2zbMath1312.05063arXiv1407.0234OpenAlexW2962796441MaRDI QIDQ2344033

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

Publication date: 11 May 2015

Published in: Pure and Applied Mathematics Quarterly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.0234

zbMATH Keywords

graph coloringhomology of digraphsalgebraic topology for digraphsfundamental group of digraphshomology of graphshomotopy groups of digraphshomotopy of digraphshomotopy of graphs

Mathematics Subject Classification ID

Directed graphs (digraphs), tournaments (05C20) Homotopy groups (55Q99)

Related Items (26)

Aspects of topological approaches for data science ⋮ Alexandroff homology and path homology ⋮ Path homology theory of edge-colored graphs ⋮ Homology of weighted path complexes and directed hypergraphs ⋮ On homology theories of cubical digraphs ⋮ Discrete differential calculus on simplicial complexes and constrained homology ⋮ Discrete cubical and path homologies of graphs ⋮ Magnitude homology and path homology ⋮ Singular cell homology ⋮ Persistent path Laplacian ⋮ Distances and isomorphism between networks: stability and convergence of network invariants ⋮ 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 ⋮ Homomorphism complexes, reconfiguration, and homotopy for directed graphs ⋮ On a cohomology of digraphs and Hochschild cohomology ⋮ Fundamental Groupoids for Graphs ⋮ Čech closure spaces: a unified framework for discrete and continuous homotopy ⋮ Path homology theory of multigraphs and quivers ⋮ Homology of digraphs ⋮ Homomorphism complexes, reconfiguration, and homotopy for directed graphs ⋮ Heat kernels on forms defined on a subgraph of a complete graph ⋮ Analysis and stochastic processes on metric measure spaces ⋮ Homology of path complexes and hypergraphs ⋮ On the Vanishing of Discrete Singular Cubical Homology for Graphs ⋮ The embedded homology of hypergraph pairs

This page was built for publication: Homotopy theory for digraphs