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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 381, Pages 88–96 (Mi znsl3854)  
This article is cited in 4 scientific papers (total in 4 papers)

Local structure of 5 and 6-connected graphs

S. A. Obraztsova

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia
Full-text PDF (560 kB) Citations (4)
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Abstract: We prove, that if graph on $n$ vertices is mimimally and contraction critically 5-connected, then it has $4n/7$ vertices of degree 5. We also prove, that if graph on $n$ vertices is mimimally and contraction critically 6-connected, then it has $n/2$ vertices of degree 6. Bibl. 7 titles.
Key words and phrases: $k$-connectivity, minimally $k$-connected, contraction critically $k$-connected.
Received: 15.07.2010
English version:
Journal of Mathematical Sciences (New York), 2011, Volume 179, Issue 5, Pages 621–625
DOI: https://doi.org/10.1007/s10958-011-0614-1
Bibliographic databases:
Document Type: Article
UDC: 519.173.1
Language: Russian
Citation: S. A. Obraztsova, “Local structure of 5 and 6-connected graphs”, Combinatorics and graph theory. Part II, Zap. Nauchn. Sem. POMI, 381, POMI, St. Petersburg, 2010, 88–96; J. Math. Sci. (N. Y.), 179:5 (2011), 621–625
Citation in format AMSBIB
\Bibitem{Obr10}
\by S.~A.~Obraztsova
\paper Local structure of~5 and 6-connected graphs
\inbook Combinatorics and graph theory. Part~II
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 381
\pages 88--96
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3854}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2011
\vol 179
\issue 5
\pages 621--625
\crossref{https://doi.org/10.1007/s10958-011-0614-1}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-83055184086}
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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
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