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Diskretnyi Analiz i Issledovanie Operatsii, 2024, Volume 31, Issue 2, Pages 63–79
DOI: https://doi.org/10.33048/daio.2024.31.767 (Mi da1345) 		 
Enumeration of even and odd chord diagrams

D. B. Efimov

Institute of Physics and Mathematics FRC Komi SC UrB RAS, 24 Kommunisticheskaya Street, 167982 Syktyvkar, Russia
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DOI: https://doi.org/10.33048/daio.2024.31.767
Abstract: A general method for the enumeration of various classes of chord diagrams with even and odd numbers of chord intersections is considered. The method is based on the calculation of the Pfaffian and Hafnian of the constraint matrix characterizing a class of diagrams. Tab. 3, illustr. 6, bibliogr. 23.
Keywords: chord diagram, Pfaffian, Hafnian.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation
Received: 03.04.2023
Revised: 11.10.2023
Accepted: 22.12.2023
English version:
Journal of Applied and Industrial Mathematics, 2024, Volume 18, Issue 2, Pages 216–226
DOI: https://doi.org/10.1134/S1990478924020042
Document Type: Article
UDC: 519.1+512.64
Language: Russian
Citation: D. B. Efimov, “Enumeration of even and odd chord diagrams”, Diskretn. Anal. Issled. Oper., 31:2 (2024), 63–79; J. Appl. Industr. Math., 18:2 (2024), 216–226
Citation in format AMSBIB
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\by D.~B.~Efimov
\paper Enumeration of even and odd chord diagrams
\jour Diskretn. Anal. Issled. Oper.
\yr 2024
\vol 31
\issue 2
\pages 63--79
\mathnet{http://mi.mathnet.ru/da1345}
\crossref{https://doi.org/10.33048/daio.2024.31.767}
\transl
\jour J. Appl. Industr. Math.
\yr 2024
\vol 18
\issue 2
\pages 216--226
\crossref{https://doi.org/10.1134/S1990478924020042}
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