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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 381, Pages 97–111 (Mi znsl3855)  
This article is cited in 3 scientific papers (total in 3 papers)

Local structure of 7 and 8-connected graphs

S. A. Obraztsova, A. V. Pastor

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia
Full-text PDF (622 kB) Citations (3)
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Abstract: We show, that if graph on $n$ vertices is mimimally and contraction critically $k$-connected, then it has at least $n/2$ vertices of degree $k$ for $k=7,8$. Bibl. 17 titles.
Key words and phrases: $k$-connectivity, minimally $k$-connected, contraction critically $k$-connected.
Received: 25.09.2010
English version:
Journal of Mathematical Sciences (New York), 2011, Volume 179, Issue 5, Pages 626–633
DOI: https://doi.org/10.1007/s10958-011-0615-0
Bibliographic databases:
Document Type: Article
UDC: 519.173.1
Language: Russian
Citation: S. A. Obraztsova, A. V. Pastor, “Local structure of 7 and 8-connected graphs”, Combinatorics and graph theory. Part II, Zap. Nauchn. Sem. POMI, 381, POMI, St. Petersburg, 2010, 97–111; J. Math. Sci. (N. Y.), 179:5 (2011), 626–633
Citation in format AMSBIB
\Bibitem{ObrPas10}
\by S.~A.~Obraztsova, A.~V.~Pastor
\paper Local structure of~7 and 8-connected graphs
\inbook Combinatorics and graph theory. Part~II
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 381
\pages 97--111
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3855}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2011
\vol 179
\issue 5
\pages 626--633
\crossref{https://doi.org/10.1007/s10958-011-0615-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-83055186777}
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  • https://www.mathnet.ru/eng/znsl/v381/p97
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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