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Toughness and Hamiltonicity of a class of planar graphs

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Publication:1883251
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DOI10.1016/j.disc.2003.11.046zbMath1048.05053OpenAlexW2009937948MaRDI QIDQ1883251

Yanyan Li

Publication date: 1 October 2004

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2003.11.046


zbMATH Keywords

Hamiltonian cyclesChordal graphPlanar graphToughness


Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Eulerian and Hamiltonian graphs (05C45)


Related Items

Long paths and toughness of \(k\)-trees and chordal planar graphs ⋮ Recent advances on the Hamiltonian problem: survey III ⋮ Toughness in graphs -- a survey



Cites Work

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  • On rigid circuit graphs
  • An upper bound on the shortness exponent of 1-tough, maximal planar graphs
  • A 1-tough nonhamiltonian maximal planar graph
  • On the shortness exponent of 1-tough, maximal planar graphs
  • Not every 2-tough graph is Hamiltonian
  • Toughness and nonhamiltonicity of polyhedral graphs
  • Tough graphs and Hamiltonian circuits.
  • Shortness exponents of families of graphs
  • A Theorem on Planar Graphs
  • Toughness and the existence ofk-factors
  • More than one tough chordal planar graphs are Hamiltonian
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