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Diskretnyi Analiz i Issledovanie Operatsii, 2023, Volume 30, Issue 4, Pages 24–34
DOI: https://doi.org/10.33048/daio.2023.30.778 (Mi da1332) 		 
Enumeration of labeled bi-block graphs

V. A. Voblyi

All-Russian Institute for Scientific and Technical Information RAS 20 Usievich Street, 125190 Moscow, Russia
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DOI: https://doi.org/10.33048/daio.2023.30.778
Abstract: A bi-block graph is a connected graph in which all blocks are complete bipartite graphs. Labeled bi-block graphs and bridgeless bi-block graphs are enumerated exactly and asymptotically by the number of vertices. It is proved that almost all labeled connected bi-block graphs have no bridges. In addition, planar bi-block graphs are enumerated, and an asymptotic estimate is found for the number of such graphs. Tab. 1, bibliogr. 12.
Keywords: enumeration, labeled graph, bridgeless graph, complete bipartite graph, planar graph, block, bi-block graph, random graph, asymptotics.
Funding agency
This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.
Received: 12.07.2023
Revised: 04.08.2023
Accepted: 20.08.2023
English version:
Journal of Applied and Industrial Mathematics, 2023, Volume 17, Issue 4, Pages 901–907
DOI: https://doi.org/10.1134/S1990478923040178
Document Type: Article
UDC: 519.175.3
Language: Russian
Citation: V. A. Voblyi, “Enumeration of labeled bi-block graphs”, Diskretn. Anal. Issled. Oper., 30:4 (2023), 24–34; J. Appl. Industr. Math., 17:4 (2023), 901–907
Citation in format AMSBIB
\Bibitem{Vob23}
\by V.~A.~Voblyi
\paper Enumeration of labeled bi-block graphs
\jour Diskretn. Anal. Issled. Oper.
\yr 2023
\vol 30
\issue 4
\pages 24--34
\mathnet{http://mi.mathnet.ru/da1332}
\transl
\jour J. Appl. Industr. Math.
\yr 2023
\vol 17
\issue 4
\pages 901--907
\crossref{https://doi.org/10.1134/S1990478923040178}
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