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Diskretnaya Matematika, 2008, Volume 20, Issue 1, Pages 52–63
DOI: https://doi.org/10.4213/dm988 (Mi dm988) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On enumeration of labelled connected graphs by the number of cutpoints

V. A. Voblyi
Full-text PDF (130 kB) Citations (4)
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DOI: https://doi.org/10.4213/dm988
Abstract: We study the numbers $S_{mn}$ of labelled connected graphs with $n$ vertices among which $m$ are cutpoints. We obtain an explicit expression for the exponential generating function $S_m(z)$ of these numbers and find the asymptotics of the numbers $S_{mn}$ as $n\to\infty$ and $m=o(n)$.
Received: 21.10.2005
English version:
Discrete Mathematics and Applications, 2008, Volume 18, Issue 1, Pages 57–69
DOI: https://doi.org/10.1515/DMA.2008.004
Bibliographic databases:
UDC: 519.15
Language: Russian
Citation: V. A. Voblyi, “On enumeration of labelled connected graphs by the number of cutpoints”, Diskr. Mat., 20:1 (2008), 52–63; Discrete Math. Appl., 18:1 (2008), 57–69
Citation in format AMSBIB
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\by V.~A.~Voblyi
\paper On enumeration of labelled connected graphs by the number of cutpoints
\jour Diskr. Mat.
\yr 2008
\vol 20
\issue 1
\pages 52--63
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\crossref{https://doi.org/10.4213/dm988}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2420496}
\zmath{https://zbmath.org/?q=an:1171.05345}
\elib{https://elibrary.ru/item.asp?id=20730228}
\transl
\jour Discrete Math. Appl.
\yr 2008
\vol 18
\issue 1
\pages 57--69
\crossref{https://doi.org/10.1515/DMA.2008.004}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-64549103291}
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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
    		Дискретная математика
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