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Zaks, Joseph

Non-Hamiltonian simple 3-polytopes having just two types of faces. (English) Zbl 0445.05065

Discrete Math. 29, 87-101 (1980).
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Cited in 1 Review
Cited in 17 Documents

MSC:

05C45 Eulerian and Hamiltonian graphs
52Bxx Polytopes and polyhedra

Keywords:

Hamiltonian circuit; 3-polytope

Citations:

Zbl 0211.250; Zbl 0271.05106
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\textit{J. Zaks}, Discrete Math. 29, 87--101 (1980; Zbl 0445.05065)
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References:

[1] Bondy, J.A.; Murty, U.S.R., Graph theory with applications, (1977), American Elsevier New York · Zbl 1134.05001
[2] Ewald, G., On shortness exponents of families of graphs, Israel J. math., 16, 53-61, (1973) · Zbl 0271.05107
[3] Faulkner, G.B.; Younger, D.H., Non-Hamiltonian cubic planar maps, Discrete math., 7, 67-74, (1974) · Zbl 0271.05106
[4] Goodey, P.R., Hamiltonian circuits in polytopes with even sided faces, Israel J. math., 22, 52-56, (1975) · Zbl 0317.05114
[5] Goodey, P.R., A class of Hamiltonian polytopes, J. of graph theory, 1, 181-185, (1977) · Zbl 0379.05037
[6] Grünbaum, B., Convex polytopes, (1967), Interscience New York · Zbl 0163.16603
[7] Grünbaum, B., Polytopes, graphs and complexes, Bull. amer. math., 76, 1131-1201, (1970) · Zbl 0211.25001
[8] Grünbaum, B.; Walther, H., Shortness exponents of families of graphs, J. combinatorial. theory A, 14, 364-385, (1973) · Zbl 0263.05103
[9] Grünbaum, B.; Zaks, J., The existence of certain planar maps, Discrete math., 10, 93-115, (1974) · Zbl 0298.05112
[10] Malkevitch, J., Three problems, Proc. N.Y. acad. of sci., (April 1978)
[11] Steinitz, E., Polyeder und raumeinteilungen, Enzykl. math. wiss., 3, 1-139, (1922), (Geometrie) Part 3AB12
[12] Zaks, J., Recent results in graph theory, Proc. 7th S.E. conf. on combinatorics, graph theory and computing, 527-532, (1976)
[13] Zaks, J., Some Hamiltonian results in polytopal graphs, Problemes combinatoires et theorie des graphes, 435-436, (1976), Orsay
[14] Zaks, J., Non-Hamiltonian non-Grinbergian graphs, Discrete math., 17, 317-321, (1977) · Zbl 0357.05052
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