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Recent Progress in Enumeration of Hypermaps. / Mednykh, A.; Nedela, R.

In: Journal of Mathematical Sciences (United States), Vol. 226, No. 5, 01.11.2017, p. 635-654.

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Harvard

Mednykh, A & Nedela, R 2017, 'Recent Progress in Enumeration of Hypermaps', Journal of Mathematical Sciences (United States), vol. 226, no. 5, pp. 635-654. https://doi.org/10.1007/s10958-017-3555-5

APA

Mednykh, A., & Nedela, R. (2017). Recent Progress in Enumeration of Hypermaps. Journal of Mathematical Sciences (United States), 226(5), 635-654. https://doi.org/10.1007/s10958-017-3555-5

Vancouver

Mednykh A, Nedela R. Recent Progress in Enumeration of Hypermaps. Journal of Mathematical Sciences (United States). 2017 Nov 1;226(5):635-654. doi: 10.1007/s10958-017-3555-5

Author

Mednykh, A. ; Nedela, R. / Recent Progress in Enumeration of Hypermaps. In: Journal of Mathematical Sciences (United States). 2017 ; Vol. 226, No. 5. pp. 635-654.

BibTeX

@article{425c8e1441d342e49a17928639c32823,
title = "Recent Progress in Enumeration of Hypermaps",
abstract = "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.",
author = "A. Mednykh and R. Nedela",
year = "2017",
month = nov,
day = "1",
doi = "10.1007/s10958-017-3555-5",
language = "English",
volume = "226",
pages = "635--654",
journal = "Journal of Mathematical Sciences (United States)",
issn = "1072-3374",
publisher = "Springer Nature",
number = "5",

}

RIS

TY - JOUR

T1 - Recent Progress in Enumeration of Hypermaps

AU - Mednykh, A.

AU - Nedela, R.

PY - 2017/11/1

Y1 - 2017/11/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85029694077&partnerID=8YFLogxK

U2 - 10.1007/s10958-017-3555-5

DO - 10.1007/s10958-017-3555-5

M3 - Article

AN - SCOPUS:85029694077

VL - 226

SP - 635

EP - 654

JO - Journal of Mathematical Sciences (United States)

JF - Journal of Mathematical Sciences (United States)

SN - 1072-3374

IS - 5

ER -

ID: 9906649