Another characterization of hypercubes. (English) Zbl 0482.05033


05C10 Planar graphs; geometric and topological aspects of graph theory
52Bxx Polytopes and polyhedra
57M15 Relations of low-dimensional topology with graph theory


Zbl 0354.05045
Full Text: DOI


[1] Berge, C., Graphes et Hypergraphes, ((1973), Dunod: Dunod Paris), 363 · Zbl 0213.25702
[2] Cameron, P. J., Biplanes, Math. Z., 131, 85-101 (1973) · Zbl 0243.05021
[3] Foldes, S., A characterization of hypercubes, Discrete Math., 17, 155-159 (1977) · Zbl 0354.05045
[4] Laborde, J.-M.; Benzaken, C., Une caractérisation locale du graphe du \(n\)-cube, Journées de Combinatoire, 198-200 (1978), Grenoble · Zbl 0404.05054
[5] Laborde, J.-M., Problem Session of the Colloque Franco-Canadien de Combinatoire (Montréal, 1978), Annals Discrete Math., 9, 305 (1980)
[6] Mulder, H. M., The interval function of a graph, ((1980), Mathematisch Centrum: Mathematisch Centrum Amsterdam), 39-63 · Zbl 0446.05039
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.