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Hamiltonian Threshold for Strong Products of Graphs (2004)  (Make Corrections)  
Daniel Kral, Ladislav Stacho



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Abstract: We prove that the strong product of any at least (ln 2)+O( ) non-trivial connected graphs of maximum degree at most  is pancyclic. (Update)

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BibTeX entry:   (Update)

@misc{ kral-hamiltonian,
  author = "Daniel Kral and Ladislav Stacho",
  title = "Hamiltonian Threshold for Strong Products of Graphs",
  url = "citeseer.ist.psu.edu/kral04hamiltonian.html" }
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5   Advances on the Hamiltonian problem | a survey (context) - Gould - 2003
5   Hamiltonian cycles (context) - Chv - 1985
5   Graduate texts in Mathematics Vol (context) - Diestel, Theory - 2000
2   On factors with given components (context) - Amahashi, Kano - 1982
2   Hamiltonian Circuits in Certain Prisms (context) - Barnette, Rosenfeld - 1973
2   Hamiltonian Cycles in Strong Products of Graphs (context) - Bermond, Germa et al. - 1979
2   Series: Algorithms and Combinatorics (context) - Schrijver, polyhedra - 2003
1   Pancyclicity of strong products of graphs (context) - Kr, Maxov et al. - 2004
1   Hamiltonian cycles in products of graphs (context) - Zaks - 1975
1   Updating the Hamiltonian problem (context) - Gould - 1991
1   Hamilton cycles in strong products of graphs (context) - Kr, Maxov et al.

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