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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 266, Pages 76–106 (Mi znsl1240)  
This article is cited in 31 scientific papers (total in 31 papers)

On the structure of $k$-connected graphs

D. V. Karpov, A. V. Pastor

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (280 kB) Citations (31)
Abstract: For $k$-connected graph we determine a notion of block and build a block tree. These constructions generalize well known and important in graph theory notion of block for the case of $k$-connected graph. With the help of these notions we describe such set $W$ of vertices of $k$-connected graph, that one can delete from graph any subset of $W$ without less of vertex connectivity.
Received: 10.10.1999
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 113, Issue 4, Pages 584–597
DOI: https://doi.org/10.1023/A:1021146226285
Bibliographic databases:
UDC: 519.17
Language: Russian
Citation: D. V. Karpov, A. V. Pastor, “On the structure of $k$-connected graphs”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part V, Zap. Nauchn. Sem. POMI, 266, POMI, St. Petersburg, 2000, 76–106; J. Math. Sci. (N. Y.), 113:4 (2003), 584–597
Citation in format AMSBIB
\Bibitem{KarPas00}
\by D.~V.~Karpov, A.~V.~Pastor
\paper On the structure of $k$-connected graphs
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~V
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 266
\pages 76--106
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1240}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1774649}
\zmath{https://zbmath.org/?q=an:1032.05075|1017.05064}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 113
\issue 4
\pages 584--597
\crossref{https://doi.org/10.1023/A:1021146226285}
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  • https://www.mathnet.ru/eng/znsl/v266/p76
    • This publication is cited in the following 31 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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