Persistent Path Homology of Directed Networks

zbMath1403.68154arXiv1701.00565MaRDI QIDQ4607962

Samir Chowdhury, Facundo Mémoli

Publication date: 15 March 2018

Full work available at URL: https://arxiv.org/abs/1701.00565

Mathematics Subject Classification ID

Graph theory (including graph drawing) in computer science (68R10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Other homology theories in algebraic topology (55N35)

Related Items (17)

Topological graph persistence ⋮ ANAPT: additive noise analysis for persistence thresholding ⋮ Persistence of Conley--Morse Graphs in Combinatorial Dynamical Systems ⋮ Path homology theory of edge-colored graphs ⋮ A directed persistent homology theory for dissimilarity functions ⋮ Steady and ranging sets in graph persistence ⋮ What Are Higher-Order Networks? ⋮ Persistent path Laplacian ⋮ Distances and isomorphism between networks: stability and convergence of network invariants ⋮ Simplicial approach to path homology of quivers, marked categories, groups and algebras ⋮ Path homology theory of multigraphs and quivers ⋮ Evolutionary de Rham-Hodge method ⋮ A functorial Dowker theorem and persistent homology of asymmetric networks ⋮ Graph pseudometrics from a topological point of view ⋮ The Fréchet mean of inhomogeneous random graphs ⋮ Robust Hierarchical Clustering for Directed Networks: An Axiomatic Approach ⋮ An efficient algorithm for 1-dimensional (Persistent) path homology

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