Отправить статью по E-mail Recent Progress in Enumeration of Hypermaps
- Авторы: Mednykh A.1,2,3, Nedela R.4,5
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Учреждения:
- Sobolev Institute of Mathematics
- Novosibirsk State University
- Chelyabinsk State University
- University of West Bohemia
- Matej Bel University
- Выпуск: Том 226, № 5 (2017)
- Страницы: 635-654
- Раздел: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/240041
- DOI: https://doi.org/10.1007/s10958-017-3555-5
- ID: 240041
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Аннотация
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.
Об авторах
A. Mednykh
Sobolev Institute of Mathematics; Novosibirsk State University; Chelyabinsk State University
Автор, ответственный за переписку.
Email: mednykh@math.nsc.ru
Россия, Novosibirsk; Novosibirsk; Chelyabinsk
R. Nedela
University of West Bohemia; Matej Bel University
Email: mednykh@math.nsc.ru
Чехия, Plzeň; Banská Bystrica
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