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Degree conditions for Hamiltonian graphs to have \([a,b]\)-factors containing a given Hamiltonian cycle

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Publication:1827685
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DOI10.1016/j.disc.2003.10.015zbMath1041.05044OpenAlexW2098946260MaRDI QIDQ1827685

Haruhide Matsuda

Publication date: 6 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.disc.2003.10.015


zbMATH Keywords

Hamiltonian graphDegree conditionConnected factor


Mathematics Subject Classification ID

Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Eulerian and Hamiltonian graphs (05C45) Vertex degrees (05C07)


Related Items (5)

Graph factors and factorization: 1985--2003: a survey ⋮ Neighborhood-union condition for an \([a, b\)-factor avoiding a specified Hamiltonian cycle] ⋮ Isolated toughness and \(k\)-Hamiltonian \([a,b\)-factors] ⋮ Degree conditions for \(k\)-Hamiltonian \([a,b\)-factors] ⋮ An existence theorem on Hamiltonian (g,f)-factors in networks



Cites Work

  • New sufficient conditions for cycles in graphs
  • Subgraphs with prescribed valencies
  • Unnamed Item
  • Unnamed Item


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