Four-cycled graphs with topological applications

DOI10.1007/s00026-011-0120-7zbMath1246.57062OpenAlexW1978373778MaRDI QIDQ434228

Türker Bıyıkoğlu, Yusuf Civan

Publication date: 10 July 2012

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00026-011-0120-7

zbMATH Keywords

simple-homotopycograph\(s\)-homotopychessboard graphclique and independence complexescycled graph

Mathematics Subject Classification ID

Paths and cycles (05C38) Structural characterization of families of graphs (05C75) Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. (57Q10)

Related Items (2)

Prime graphs, matchings and the Castelnuovo-Mumford regularity ⋮ Topology of acyclic complexes of tournaments and coloring

Cites Work

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• Kneser's conjecture, chromatic number, and homotopy
• Minimal finite models
• Cores of simplicial complexes
• Algebraic properties of edge ideals via combinatorial topology
• Simplicial simple-homotopy of flag complexes in terms of graphs
• Complement reducible graphs
• Cohen-Macaulay graphs
• Simple homotopy types and finite spaces
• The topology of the independence complex
• Topology of matching, chessboard, and general bounded degree graph complexes
• Graph Classes: A Survey
• Combinatorial algebraic topology

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