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Each maximal planar graph with exactly two separating triangles is Hamiltonian

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Publication:2383540
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DOI10.1016/j.dam.2007.03.018zbMath1123.05059OpenAlexW1966802404MaRDI QIDQ2383540

Guido Helden

Publication date: 19 September 2007

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

Full work available at URL: https://doi.org/10.1016/j.dam.2007.03.018


zbMATH Keywords

Hamilton cyclemaximal planar graphseparating triangle


Mathematics Subject Classification ID

Eulerian and Hamiltonian graphs (05C45)


Related Items

Two-page book embeddings of 4-planar graphs ⋮ A survey on book-embedding of planar graphs ⋮ On Jones' subgroup of R. Thompson group \(F\) ⋮ Hamiltonicity of graphs on surfaces in terms of toughness and scattering number -- a survey ⋮ Recent advances on the Hamiltonian problem: survey III ⋮ An Experimental Study on Generating Planar Graphs ⋮ Coupon-coloring and total domination in Hamiltonian planar triangulations ⋮ Hamiltonian properties of polyhedra with few 3-cuts. A survey



Cites Work

  • Unnamed Item
  • Planar graphs: Theory and algorithms
  • Any maximal planar graph with only one separating triangle is Hamiltonian
  • A Theorem on Planar Graphs
  • The Planar Hamiltonian Circuit Problem is NP-Complete
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