The 24 symmetry pairings of self-dual maps on the sphere

DOI10.1016/0012-365X(94)00293-RzbMath0829.05021MaRDI QIDQ1893173

Brigitte Servatius, Herman J. Servatius

Publication date: 3 July 1995

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

sphereautomorphismsrankself-dual pairingself-dual planar mapsymmetry pairings

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (13)

Self-Dual Maps II: Links and Symmetry ⋮ New dualities from old: generating geometric, Petrie, and Wilson dualities and trialities of ribbon graphs ⋮ Self-dual maps on the sphere ⋮ Self-dual polyhedra of given degree sequence ⋮ Self-dual graphs ⋮ Unnamed Item ⋮ Self-Dual Maps I: Antipodality ⋮ Characterization of a family of rotationally symmetric spherical quadrangulations ⋮ Cellular automorphisms and self-duality ⋮ Self-dual spherical grids ⋮ The graphs behind reuleaux polyhedra ⋮ Strongly involutive self-dual polyhedra ⋮ Self-dual embeddings of K_{4m,4n} in different orientable and nonorientable pseudosurfaces with the same Euler characteristic

Cites Work

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• The construction and classification of self-dual spherical polyhedra
• A non-involutory selfduality
• Self-dual maps on the sphere
• Self-dual graphs
• Is Selfduality Involutory?
• Construction of Self-Dual Graphs

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