The fundamental group in discrete homotopy theory

DOI10.1016/J.AAM.2024.102838MaRDI QIDQ6665423

Udit Mavinkurve, Krzysztof Kapulkin

Publication date: 17 January 2025

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Seifert-van Kampen theoremA-homotopy theory

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Homotopy theory (55P99) Homotopy groups (55Q99) Infinite graphs (05C63)

Cites Work

• Title not available (Why is that?)
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• Kneser's conjecture, chromatic number, and homotopy
• Hom complexes and homotopy theory in the category of graphs
• Homotopy groups of Hom complexes of graphs
• Finite common coverings of graphs
• Homotopy theory for digraphs
• Proof of the Lovász conjecture
• Homotopy theory of graphs
• Matroid basis graphs. I
• Matroid basis graphs. II
• Perspectives on \(A\)-homotopy theory and its applications
• Higher discrete homotopy groups of graphs
• Categorical homotopy theory
• Topological Crystallography
• Fundamental Groupoids for Graphs
• On the Vanishing of Discrete Singular Cubical Homology for Graphs
• Foundations of a connectivity theory for simplicial complexes

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