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A note on locally connected and Hamiltonian-connected graphs

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Publication:1132896
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DOI10.1007/BF02760528zbMath0421.05048MaRDI QIDQ1132896

Gary Chartrand, Albert D. Polimeni, Ronald J. Gould

Publication date: 1979

Published in: Israel Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

locally connectedHamiltonian-connected graphs


Mathematics Subject Classification ID

Connectivity (05C40) Eulerian and Hamiltonian graphs (05C45)


Related Items

Global cycle properties of locally isometric graphs ⋮ Global cycle properties in locally connected, locally traceable and locally Hamiltonian graphs ⋮ Claw-free graphs---a survey ⋮ Unnamed Item ⋮ On Hamilton Cycles in Locally Connected Graphs with Vertex Degree Constraints ⋮ Hamiltonian properties of locally connected graphs with bounded vertex degree ⋮ Hamiltonian connectedness in claw-free graphs ⋮ Global cycle properties in graphs with large minimum clustering coefficient ⋮ Panconnectivity of locally connected claw-free graphs ⋮ Path extendable graphs



Cites Work

  • Unnamed Item
  • Every connected, locally connected nontrivial graph with no induced claw is hamiltonian
  • Locally connected graphs
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