Chvátal’s t 0-Tough Conjecture

DOI10.1007/978-3-319-31940-7_9zbMath1362.05080OpenAlexW2535038151MaRDI QIDQ5506780

Linda Lesniak

Publication date: 16 December 2016

Published in: Graph Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-31940-7_9

zbMATH Keywords

connectivityHamiltonicitytoughness

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Research exposition (monographs, survey articles) pertaining to combinatorics (05-02) Connectivity (05C40) Eulerian and Hamiltonian graphs (05C45)

Cites Work

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• Hamilton cycles in 5-connected line graphs
• On hamiltonian line graphs and connectivity
• Toughness and Hamiltonicity in \(k\)-trees
• Recognizing tough graphs is NP-hard
• Finding Hamiltonian circuits in interval graphs
• On a closure concept in claw-free graphs
• 1-tough cocomparability graphs are hamiltonian
• Toughness, hamiltonicity and split graphs
• Not every 2-tough graph is Hamiltonian
• Toughness in graphs -- a survey
• The square of every two-connected graph is Hamiltonian
• Tough graphs and Hamiltonian circuits.
• A Theorem on Planar Graphs
• Hamiltonian results inK1,3-free graphs
• Toughness and the existence ofk-factors
• Graph Classes: A Survey
• More than one tough chordal planar graphs are Hamiltonian
• Reflections on graph theory
• On Toughness and Hamiltonicity of 2K₂‐Free Graphs
• Tough spiders

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