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On the automorphism group of a planar hypermap. (English) Zbl 0472.05049

MSC:
05C65 Hypergraphs
05C25 Graphs and abstract algebra (groups, rings, fields, etc.)
20B25 Finite automorphism groups of algebraic, geometric, or combinatorial structures
Keywords:
planar hypermap
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References:
[1] Babai, L.; Imrich, W., On groups of polyhedral graphs, Discrete math., 5, 101-103, (1973) · Zbl 0261.05116
[2] Cori, R., Un code pour LES graphes planaires et ses applications, Astérisque, 27, (1975) · Zbl 0313.05115
[3] R. Cori, A. Machí: Su alcune proprietà del genere di una coppia di permutazioni.
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[5] Fontet, M., Automorphism groups of graphs and combinatorial maps, Colloquium on algebraic methods in graph theory, (1978), Szeged
[6] Fontet, M., Connectivite des graphes et automorphismes des Cartes, Thèse de doctorat d’etat, Paris, (1979)
[7] Jacques, A., Sur le genre d’une paire de substitutions, C.R. acad. sci. Paris, 267, 625-627, (1968) · Zbl 0187.20902
[8] Kerekjarto, R., Über die periodischen transformationen der kreisschiebe and der kugelfläche, Math. ann., 80, 36-38, (1921)
[9] W.T. Tutte: On the enumeration of convex polyhedra, Canad. J. Math. (to appear).
[10] Walsh, T., Hypermap versus bipartite maps, J. combin. theory ser. B, 18, 155-163, (1973) · Zbl 0302.05101
[11] Wielandt, H., Finite permutation groups, (1964), Academic Press New York · Zbl 0138.02501
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