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Diskretnyi Analiz i Issledovanie Operatsii, 2009, Volume 16, Issue 2, Pages 61–73 (Mi da568)  

This article is cited in 7 scientific papers (total in 7 papers)

On the number of independent sets in trees of fixed diameter

A. B. Dainiak

Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (712 kB) Citations (7)
References:
Abstract: We obtain lower bounds for the number of independent sets in trees of diameter 6, 7, 8, and 9. We also provide some restrictions on the structure of extremal trees of fixed diameter in the general case. Tabl. 2, bibl. 3.
Keywords: tree, diameter, independent set, lower bounds.
Received: 29.01.2009
English version:
Journal of Applied and Industrial Mathematics, 2010, Volume 4, Issue 2, Pages 163–171
DOI: https://doi.org/10.1134/S1990478910020043
Bibliographic databases:
UDC: 519.172+519.176
Language: Russian
Citation: A. B. Dainiak, “On the number of independent sets in trees of fixed diameter”, Diskretn. Anal. Issled. Oper., 16:2 (2009), 61–73; J. Appl. Industr. Math., 4:2 (2010), 163–171
Citation in format AMSBIB
\Bibitem{Dai09}
\by A.~B.~Dainiak
\paper On the number of independent sets in trees of fixed diameter
\jour Diskretn. Anal. Issled. Oper.
\yr 2009
\vol 16
\issue 2
\pages 61--73
\mathnet{http://mi.mathnet.ru/da568}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2574309}
\zmath{https://zbmath.org/?q=an:1249.05281}
\transl
\jour J. Appl. Industr. Math.
\yr 2010
\vol 4
\issue 2
\pages 163--171
\crossref{https://doi.org/10.1134/S1990478910020043}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77953510780}
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  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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