Enumeration of unsensed \(r\)-regular maps on the projective plane and the Klein bottle

DOI10.1016/j.disc.2021.112528zbMath1472.05072OpenAlexW3183222864MaRDI QIDQ1981659

Evgeniy Krasko, Alexander Omelchenko

Publication date: 6 September 2021

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

Full work available at URL: https://doi.org/10.1016/j.disc.2021.112528

zbMATH Keywords

mapsenumerationorbifoldsnon-orientable surfaces

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Enumeration in graph theory (05C30) Planar graphs; geometric and topological aspects of graph theory (05C10)

Uses Software

• non-orientable_maps

Cites Work

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• Enumeration of unrooted hypermaps of a given genus
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• Enumeration of \(r\)-regular maps on the torus. II: Unsensed maps
• Enumeration of unsensed orientable and non-orientable maps
• Nonorientable automorphisms of Riemann surfaces
• Enumeration of unrooted maps of a given genus
• Counting rooted maps by genus. I
• Symmetries of compact Riemann surfaces
• A Census of Planar Triangulations
• A Census of Planar Maps