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Zapiski Nauchnykh Seminarov POMI, 2017, Volume 464, Pages 77–87 (Mi znsl6522)  
This article is cited in 2 scientific papers (total in 2 papers)

Counting unlabelled chord diagrams of maximal genus

E. C. Krasko

St. Petersburg Academic University, St. Petersburg, Russia
Full-text PDF (200 kB) Citations (2)
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Abstract: Maximal chord diagrams up to all isomorphisms are enumerated. The enumerating formula is based on a bijection between rooted one-vertex one-face maps on locally orientable surfaces and a certain class of symmetric chord diagrams. This result extends the one of Cori and Marcus regarding maximal chord diagrams enumerated up to rotations.
Key words and phrases: chord diagrams, maps on surfaces, unlabelled enumeration.
Received: 09.11.2017
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 236, Issue 5, Pages 521–526
DOI: https://doi.org/10.1007/s10958-018-4129-x
Document Type: Article
UDC: 519.11+519.172.2
Language: Russian
Citation: E. C. Krasko, “Counting unlabelled chord diagrams of maximal genus”, Combinatorics and graph theory. Part IX, Zap. Nauchn. Sem. POMI, 464, POMI, St. Petersburg, 2017, 77–87; J. Math. Sci. (N. Y.), 236:5 (2019), 521–526
Citation in format AMSBIB
\Bibitem{Kra17}
\by E.~C.~Krasko
\paper Counting unlabelled chord diagrams of maximal genus
\inbook Combinatorics and graph theory. Part~IX
\serial Zap. Nauchn. Sem. POMI
\yr 2017
\vol 464
\pages 77--87
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6522}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 236
\issue 5
\pages 521--526
\crossref{https://doi.org/10.1007/s10958-018-4129-x}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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