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Zapiski Nauchnykh Seminarov POMI, 2014, Volume 427, Pages 66–73 (Mi znsl6043)  
Deleting vertices from a biconnected graph with preserving biconnectinity

D. V. Karpovab

a St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences, St. Petersburg, Russia
b St. Petersburg State University, Department of Mathematics and Mechanics, St. Petersburg, Russia
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Abstract: Let $G$ be a biconnected graph and $W$ be a set which consists of inner vertices of parts-blocks of the graph $G$ and contains at least one vertex of each such part. It is proved that the graph $G-W$ is biconnected.
Key words and phrases: connectivity, biconnected graph, blocks.
Received: 27.10.2014
English version:
Journal of Mathematical Sciences (New York), 2016, Volume 212, Issue 6, Pages 683–687
DOI: https://doi.org/10.1007/s10958-016-2698-0
Bibliographic databases:
Document Type: Article
UDC: 519.173.1
Language: Russian
Citation: D. V. Karpov, “Deleting vertices from a biconnected graph with preserving biconnectinity”, Combinatorics and graph theory. Part VII, Zap. Nauchn. Sem. POMI, 427, POMI, St. Petersburg, 2014, 66–73; J. Math. Sci. (N. Y.), 212:6 (2016), 683–687
Citation in format AMSBIB
\Bibitem{Kar14}
\by D.~V.~Karpov
\paper Deleting vertices from a~biconnected graph with preserving biconnectinity
\inbook Combinatorics and graph theory. Part~VII
\serial Zap. Nauchn. Sem. POMI
\yr 2014
\vol 427
\pages 66--73
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6043}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3485318}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2016
\vol 212
\issue 6
\pages 683--687
\crossref{https://doi.org/10.1007/s10958-016-2698-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84953341743}
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