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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

Citations:

Zbl 0261.05116
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Full Text: DOI

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.; R. Cori, A. Machí: Su alcune proprietà del genere di una coppia di permutazioni. · Zbl 0468.05025
[4] Eilenberg, S., Sur les transformations périodiques de la surface de la sphère, Fund. Math., 22, 28-41 (1934)
[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).; W.T. Tutte: On the enumeration of convex polyhedra, Canad. J. Math. (to appear). · Zbl 0355.52004
[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: Academic Press New York · Zbl 0138.02501
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