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Diskretnyi Analiz i Issledovanie Operatsii, 2020, Volume 27, Issue 1, Pages 5–16
DOI: https://doi.org/10.33048/daio.2020.27.653 (Mi da941) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On the number of labeled outerplanar $k$-cyclic bridgeless graphs

V. A. Voblyi

Russian Institute for Scientific and Technical Information RAS 20 Usievich Street, 125190 Moscow, Russia
Full-text PDF (293 kB) Citations (4)
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DOI: https://doi.org/10.33048/daio.2020.27.653
Abstract: We obtain an explicit formula for the number of labeled connected outerplanar $k$-cyclic $n$-vertex bridgeless graphs. We find asymptotics for the number of those graphs for a large number of vertices and fixed $k$. As a consequence, we prove that, for $k$ fixed, almost all labeled connected outerplanar $k$-cyclic graphs have bridges. Tab. 1, bibliogr. 14.
Keywords: enumeration, labeled graph, outerplanar graph, bridgeless graph, $k$-cyclic graph, asymptotics.
Received: 21.03.2019
Revised: 09.10.2019
Accepted: 27.11.2019
English version:
Journal of Applied and Industrial Mathematics, 2020, Volume 14, Issue 1, Pages 205–211
DOI: https://doi.org/10.1134/S1990478920010196
Bibliographic databases:
Document Type: Article
UDC: 519.175.3
Language: Russian
Citation: V. A. Voblyi, “On the number of labeled outerplanar $k$-cyclic bridgeless graphs”, Diskretn. Anal. Issled. Oper., 27:1 (2020), 5–16; J. Appl. Industr. Math., 14:1 (2020), 205–211
Citation in format AMSBIB
\Bibitem{Vob20}
\by V.~A.~Voblyi
\paper On the number of labeled outerplanar $k$-cyclic~bridgeless graphs
\jour Diskretn. Anal. Issled. Oper.
\yr 2020
\vol 27
\issue 1
\pages 5--16
\mathnet{http://mi.mathnet.ru/da941}
\crossref{https://doi.org/10.33048/daio.2020.27.653}
\transl
\jour J. Appl. Industr. Math.
\yr 2020
\vol 14
\issue 1
\pages 205--211
\crossref{https://doi.org/10.1134/S1990478920010196}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85082393286}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретный анализ и исследование операций
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    Full-text PDF :68
    References:36
    First page:7
     
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