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On shortness exponents of families of graphs. (English) Zbl 0271.05107

##### MSC:
 05C35 Extremal problems in graph theory 05C10 Planar graphs; geometric and topological aspects of graph theory 57N05 Topology of the Euclidean $$2$$-space, $$2$$-manifolds (MSC2010) 52Bxx Polytopes and polyhedra
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##### References:
 [1] A. Altshuler,Hamiltonian circuits in some maps on the torus, Discrete Math.1 (1972), 299–314. · Zbl 0226.05109 [2] G. Ewald,Hamiltonian circuits in simplicial complexes, Geometriae Dedicata2 (1973), 115–125. · Zbl 0272.57008 [3] G. Ewald,Cut numbers and long circuits in graphs of the family G (4,4) (to appear). [4] B. Grünbaum,Polytopes, graphs, and complexes, Bull. Amer. Math. Soc.76 (1970), 1131–1201. · Zbl 0211.25001 [5] B. Grünbaum and H. Walther,Shortness exponents of families of graphs, J. Combinatorial Theory (A)14 (1973), 364–385. · Zbl 0263.05103 [6] C. N. Reynolds,Circuits upon polyhedra, Ann. of Math.33 (1932), 367–372. · JFM 58.0610.02
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