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On the Structure of Non-Hamiltonian Graphs I

Published online by Cambridge University Press:  12 September 2008

Roland Häggkvist
Roland Häggkvist
Affiliation:
Department of Mathematics, University of Umeå, S-90187 Umeå, Sweden
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Abstract

The structure of non-Hamiltonian graphs is studied in terms of neighbourhood-unions. Numerous results, such as (A), (B) and (C) below, are obtained.

Information

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 1 , Issue 1 , March 1992 , pp. 27 - 34
Copyright
Copyright © Cambridge University Press 1992

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References

[1] Dirac, G. A.. Some theorems on abstract graphs. Proc. London Math. Soc., Ser. 3 2 (1952), 69–81.CrossRefGoogle Scholar
[2] Häggkvist, R.. A characterization of non-hamiltonian graph with high degrees. Annals Discrete Math. 9 (1980) 259.Google Scholar
[3] Jackson, B.. Hamilton cycles in regular 2-connected graphs. J. Combinatorial Theory Ser. B 29 (1980) 27–46.Google Scholar
[4] Nash-Williams, C. St.J.A.. Edge-disjoint Hamiltonian circuits in graphs with large valency. In “Studies in Pure Mathematics” (Mirsky, L., ed.). Academic Press, London (1971), 157–183.Google Scholar
[5] Thomassen, C.. Planar cubic hypo-Hamiltonian and hypotracable graphs. J. Combinatorial Theory Ser. B 30 (1981) 36–44.Google Scholar
[6] Woodall, D. R.. The binding number of a graph and its Anderson number. J. Combinatorial Theory Ser. B 15 (1973) 225–255.CrossRefGoogle Scholar