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Diskretnyi Analiz i Issledovanie Operatsii, 2019, Volume 26, Issue 1, Pages 20–32
DOI: https://doi.org/10.33048/daio.2019.26.615 (Mi da915) 		 
This article is cited in 19 scientific papers (total in 19 papers)

The second Riddel relation and its consequences

V. A. Voblyi

All-Russian Institute for Scientific and Technical Information RAS, 20 Usievicha St., 125190 Moscow, Russia
Full-text PDF (292 kB) Citations (19)
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DOI: https://doi.org/10.33048/daio.2019.26.615
Abstract: The second Riddell relation relates the generating functions for the number of labeled connected graphs and the number of labeled blocks. We consider the conditions under which this relation is true for a subclass of connected graphs. Under these conditions, the formulas are valid that express the number of graphs from a subclass of labeled connected graphs trough the generating function of their blocks. By way of application, we obtain expressions for the numbers of labeled connected and 2-connected series-parallel graphs. Bibliogr. 22.
Keywords: enumeration, labeled graph, connected graph, 2-connected graph, generating function, block-stable class, series-parallel graph.
Received: 03.04.2018
Revised: 01.10.2018
Accepted: 28.11.2018
English version:
Journal of Applied and Industrial Mathematics, 2019, Volume 13, Issue 1, Pages 168–174
DOI: https://doi.org/10.1134/S1990478919010174
Bibliographic databases:
Document Type: Article
UDC: 519.175.3
Language: Russian
Citation: V. A. Voblyi, “The second Riddel relation and its consequences”, Diskretn. Anal. Issled. Oper., 26:1 (2019), 20–32; J. Appl. Industr. Math., 13:1 (2019), 168–174
Citation in format AMSBIB
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\by V.~A.~Voblyi
\paper The second Riddel relation and its consequences
\jour Diskretn. Anal. Issled. Oper.
\yr 2019
\vol 26
\issue 1
\pages 20--32
\mathnet{http://mi.mathnet.ru/da915}
\crossref{https://doi.org/10.33048/daio.2019.26.615}
\transl
\jour J. Appl. Industr. Math.
\yr 2019
\vol 13
\issue 1
\pages 168--174
\crossref{https://doi.org/10.1134/S1990478919010174}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85064887992}
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    • This publication is cited in the following 19 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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