Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/znsl3855
  • 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
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:163
    Full-text PDF :55
    References:53
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024