Enviar artigo por via de e-mail Recent Progress in Enumeration of Hypermaps
- Autores: Mednykh A.1,2,3, Nedela R.4,5
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Afiliações:
- Sobolev Institute of Mathematics
- Novosibirsk State University
- Chelyabinsk State University
- University of West Bohemia
- Matej Bel University
- Edição: Volume 226, Nº 5 (2017)
- Páginas: 635-654
- Seção: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/240041
- DOI: https://doi.org/10.1007/s10958-017-3555-5
- ID: 240041
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Resumo
The isomorphism classes of hypermaps of a given genus g ≤ 6 and a given number d of darts are enumerated. The hypermaps of a given genus g are distinguished up to orientation preserving isomorphisms. The obtained results depend on recent progress in counting rooted hypermaps, in particular, by P. Zograf, M. Kazarian, A. Giorgetti, and T. Walsh. These results can be interpreted as an enumeration of conjugacy classes of subgroups in a free Fuchsian group of rank two with a genus restriction. Bibliography: 36 titles.
Sobre autores
A. Mednykh
Sobolev Institute of Mathematics; Novosibirsk State University; Chelyabinsk State University
Autor responsável pela correspondência
Email: mednykh@math.nsc.ru
Rússia, Novosibirsk; Novosibirsk; Chelyabinsk
R. Nedela
University of West Bohemia; Matej Bel University
Email: mednykh@math.nsc.ru
Tchéquia, Plzeň; Banská Bystrica
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