Surfaces having no regular hypermaps.

DOI10.1016/j.disc.2003.03.001zbMath1033.05029OpenAlexW2079863649MaRDI QIDQ1426121

Stephen E. Wilson, Antonio J. Breda d'Azevedo

Publication date: 14 March 2004

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

Full work available at URL: https://doi.org/10.1016/j.disc.2003.03.001

zbMATH Keywords

MapsGraphs imbeddingsHypermapsNon-orientable surfaces

Mathematics Subject Classification ID

Hypergraphs (05C65) Enumeration in graph theory (05C30) Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Topological methods in group theory (57M07) General geometric structures on low-dimensional manifolds (57M50) Relations of low-dimensional topology with graph theory (57M15) Group actions on manifolds and cell complexes in low dimensions (57M60) Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (2) dimensions (aspects of discrete geometry) (52C20)

Related Items (5)

Unnamed Item ⋮ Inner reflectors and non-orientable regular maps ⋮ The genera, reflexibility and simplicity of regular maps ⋮ Unnamed Item ⋮ Classification of regular maps of negative prime Euler characteristic

Uses Software

• GAP

Cites Work

• Unnamed Item
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• Inner reflectors and non-orientable regular maps
• Operations on hypermaps, and outer automorphisms
• Regular combinatorial maps
• Bicontactual regular maps
• Operators over regular maps
• Combinatorial maps
• Hypermaps versus bipartite maps
• Regular maps on non-orientable surfaces
• ROTARY MAPS OF TYPE {6, 6}₄

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