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Diskretnyi Analiz i Issledovanie Operatsii, 2009, Volume 16, Issue 4, Pages 87–96 (Mi da581)  
This article is cited in 1 scientific paper (total in 1 paper)

Reconstruction conjecture for graphs with restrictions for 4-vertex paths

P. V. Skums, R. I. Tyshkevich

Belarusian State University, Minsk, Belarus
Full-text PDF (257 kB) Citations (1)
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Abstract: The well-known Kelly–Ulam reconstruction conjecture is considered. It is proved that the conjecture holds for $P_4$-disconnected and $P_4$-tidy graphs. In particular, it generalizes the known results on the reconstructibility of disconnected graphs, complements of disconnected graphs, 1-decomposable graphs, and $P_4$-reducible graphs. Bibl. 19.
Keywords: reconstruction conjecture, $P_4$-disconnected graphs, $P_4$-tidy graphs, $P_4$-reducible graphs, 1-decomposable graphs.
Received: 29.01.2009
Revised: 22.05.2009
Bibliographic databases:
UDC: 519.1
Language: Russian
Citation: P. V. Skums, R. I. Tyshkevich, “Reconstruction conjecture for graphs with restrictions for 4-vertex paths”, Diskretn. Anal. Issled. Oper., 16:4 (2009), 87–96
Citation in format AMSBIB
\Bibitem{SkuTys09}
\by P.~V.~Skums, R.~I.~Tyshkevich
\paper Reconstruction conjecture for graphs with restrictions for 4-vertex paths
\jour Diskretn. Anal. Issled. Oper.
\yr 2009
\vol 16
\issue 4
\pages 87--96
\mathnet{http://mi.mathnet.ru/da581}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2589403}
\zmath{https://zbmath.org/?q=an:1249.05269}
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  • https://www.mathnet.ru/eng/da/v16/i4/p87
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретный анализ и исследование операций
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    Abstract page:634
    Full-text PDF :186
    References:45
    First page:19
     
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