An implicit weighted degree condition for heavy cycles

DOI10.7151/dmgt.1762zbMath1303.05106OpenAlexW2000563689MaRDI QIDQ472135

Wantao Ning, Hao Li, Jun-qing Cai

Publication date: 18 November 2014

Published in: Discussiones Mathematicae. Graph Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7151/dmgt.1762

zbMATH Keywords

Hamiltonian cyclesweighted graphheavy cyclesimplicit degreeimplicit weighted degree

Mathematics Subject Classification ID

Paths and cycles (05C38) Eulerian and Hamiltonian graphs (05C45) Vertex degrees (05C07) Signed and weighted graphs (05C22)

Related Items (3)

Generalizations of Dirac's theorem in Hamiltonian graph theory -- a survey ⋮ HIGH-ORDER COPOSITIVE TENSORS AND ITS APPLICATIONS ⋮ A generalization of implicit Ore-condition for Hamiltonicity of \(k\)-connected graphs

Cites Work

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• Implicit-degrees and circumferences
• On a conjecture of Bondy
• Large cycles in graphs
• A note on Hamiltonian circuits
• A σ_3 type condition for heavy cycles in weighted graphs
• Some Theorems on Abstract Graphs

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