On the topology of simplicial complexes related to 3-connected and Hamiltonian graphs

DOI10.1016/j.jcta.2003.07.001zbMath1031.05080OpenAlexW2156490255MaRDI QIDQ1417957

Jakob Jonsson

Publication date: 6 January 2004

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2003.07.001

zbMATH Keywords

Hamiltonian graph3-connected graphDiscrete Morse theoryMonotone graph propertyTopological combinatorics

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Eulerian and Hamiltonian graphs (05C45) PL-topology (57Q99)

Related Items (10)

Algebraic Morse theory and homological perturbation theory ⋮ Topological representations of simplicial complexes and their applications ⋮ Boolean complexes of involutions ⋮ Connectivity of \(h\)-complexes. ⋮ Complexes of graphs with bounded matching size ⋮ Morse theory from an algebraic viewpoint ⋮ Discrete Morse theory and localization ⋮ Equivariant discrete Morse theory ⋮ Complexes of discrete Morse functions ⋮ On optimizing discrete Morse functions

Cites Work

• Unnamed Item
• On optimizing discrete Morse functions
• Complexes of not \(i\)-connected graphs
• Morse theory for cell complexes
• On discrete Morse functions and combinatorial decompositions
• Lie algebra cohomology and the generalized Borel-Weil theorem
• Simplicial collapsibility, discrete Morse theory, and the geometry of nonpositively curved simplicial complexes
• Homologies of complexes of doubly connected graphs
• Complexes oft-Colorable Graphs
• Discrete Morse functions from lexicographic orders
• Discrete Morse theory for complexes of 2-connected graphs

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