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Diskretnyi Analiz i Issledovanie Operatsii, 2011, Volume 18, Issue 1, Pages 15–19 (Mi da634)  
This article is cited in 1 scientific paper (total in 1 paper)

Some properties of well-based sequences

A. A. Valyuzhenich

Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (225 kB) Citations (1)
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Abstract: S. V. Kitaev stated a problem of finding the number of well-based sequences and of existence of a bijection between these objects and sets associated with the sequence A103580. Well-based sequences define the class of graphs for which independent sets are enlisted by S. V. Kitaev. In our paper, the desirable bijection is obtained and it is proved that the number of well-based sequences increases as $\Theta(2^{n/2})$. Bibliogr. 5.
Keywords: well-based sequence, sum-free set.
Received: 01.04.2010
Revised: 08.09.2010
English version:
Journal of Applied and Industrial Mathematics, 2011, Volume 5, Issue 4, Pages 612–614
DOI: https://doi.org/10.1134/S1990478911040168
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: A. A. Valyuzhenich, “Some properties of well-based sequences”, Diskretn. Anal. Issled. Oper., 18:1 (2011), 15–19; J. Appl. Industr. Math., 5:4 (2011), 612–614
Citation in format AMSBIB
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\by A.~A.~Valyuzhenich
\paper Some properties of well-based sequences
\jour Diskretn. Anal. Issled. Oper.
\yr 2011
\vol 18
\issue 1
\pages 15--19
\mathnet{http://mi.mathnet.ru/da634}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2847825}
\zmath{https://zbmath.org/?q=an:1249.11038}
\transl
\jour J. Appl. Industr. Math.
\yr 2011
\vol 5
\issue 4
\pages 612--614
\crossref{https://doi.org/10.1134/S1990478911040168}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-82655180509}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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