Enumeration of unrooted hypermaps of a given genus

DOI10.1016/j.disc.2009.03.033zbMath1185.05082OpenAlexW2085291318MaRDI QIDQ960963

Roman Nedela, Alexander Mednykh

Publication date: 29 March 2010

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

Full work available at URL: https://doi.org/10.1016/j.disc.2009.03.033

zbMATH Keywords

surfaceorbifoldenumerationFuchsian groupmaprooted hypermapunrooted hypermap

Mathematics Subject Classification ID

Enumeration in graph theory (05C30) Planar graphs; geometric and topological aspects of graph theory (05C10)

Related Items (14)

Enumeration of \(r\)-regular maps on the torus. I: Rooted maps on the torus, the projective plane and the Klein bottle. Sensed maps on the torus ⋮ Enumeration of \(r\)-regular maps on the torus. II: Unsensed maps ⋮ Three-dimensional maps and subgroup growth ⋮ Restricted linear congruences ⋮ On the enumeration of hypermaps which are self-equivalent with respect to reversing the colors of vertices ⋮ Recent progress in enumeration of hypermaps ⋮ Counting 2-connected 4-regular maps on the projective plane ⋮ Free subgroups of free products and combinatorial hypermaps ⋮ 4-edge-connected 4-regular maps on the projective plane ⋮ Rationality in map and hypermap enumeration by genus ⋮ Enumeration of unsensed \(r\)-regular maps on the projective plane and the Klein bottle ⋮ Telescopic groups and symmetries of combinatorial maps ⋮ Counting hypermaps by Egorychev's method ⋮ Enumeration of unsensed orientable and non-orientable maps

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