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Non-Hamiltonian cubic planar maps. (English) Zbl 0271.05106


MSC:

05C10 Planar graphs; geometric and topological aspects of graph theory
05C35 Extremal problems in graph theory
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References:

[1] J. Butler, Hamiltonian circuits on simple 3-poly topes, J. Combin. Theory (series B), to appear.; J. Butler, Hamiltonian circuits on simple 3-poly topes, J. Combin. Theory (series B), to appear.
[2] Faulkner, G. B., Recursive generation of cyclically \(k\)-connected cubic planar graphs, Ph.D. Thesis (1971), University of Waterloo: University of Waterloo Budapest · Zbl 0327.05114
[3] Grinberg, E., Plane homogeneous graphs of degree three without Hamiltonian circuits, Latvian Math. Yearbook, Izdat. “Zinatne”, Riga, 4, 51-58 (1968), (in Russian) · Zbl 0185.27901
[4] Grünbaum, B., Polytopes, graphs, and complexes, Bull. Am. Math. Soc., 76, 1143-1145 (1970) · Zbl 0211.25001
[5] Hunter, H. F., On non-Hamiltonian maps and their duals, (Ph.D. Thesis (1962), Rensselaer Polytechnic Institute)
[6] Kotzig, A., Regularly connected trivalent graphs without non-trivial cuts of cardinality 3, Acta Fac. Rerum Natur. Univ. Comenian. Math., 21, 1-14 (1968), (1969) · Zbl 0199.27301
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