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Matematicheskie Zametki, 2021, Volume 109, Issue 2, Pages 276–289
DOI: https://doi.org/10.4213/mzm12749 (Mi mzm12749) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Trees of Diameter $6$ and $7$ with Minimum Number of Independent Sets

D. S. Taletskii

National Research University "Higher School of Economics", Nizhny Novgorod Branch
Full-text PDF (511 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm12749
Abstract: We consider the problem of describing $n$-vertex trees of diameter $d$ containing as few independent sets as possible. This problem is solved for $d=6$ and $n>160$, as well as for $d=7$ and $n>400$.
Keywords: independent set, tree, diameter.
Funding agency Grant number
National Research University Higher School of Economics
The paper was prepared in the course of studies in the framework of the Basic Research Program at National Research University Higher School of Economics (HSE).
Received: 10.04.2020
Revised: 30.07.2020
English version:
Mathematical Notes, 2021, Volume 109, Issue 2, Pages 280–291
DOI: https://doi.org/10.1134/S0001434621010326
Bibliographic databases:
Document Type: Article
UDC: 519.17
Language: Russian
Citation: D. S. Taletskii, “Trees of Diameter $6$ and $7$ with Minimum Number of Independent Sets”, Mat. Zametki, 109:2 (2021), 276–289; Math. Notes, 109:2 (2021), 280–291
Citation in format AMSBIB
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\by D.~S.~Taletskii
\paper Trees of Diameter $6$ and $7$ with Minimum Number of Independent Sets
\jour Mat. Zametki
\yr 2021
\vol 109
\issue 2
\pages 276--289
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\crossref{https://doi.org/10.4213/mzm12749}
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\transl
\jour Math. Notes
\yr 2021
\vol 109
\issue 2
\pages 280--291
\crossref{https://doi.org/10.1134/S0001434621010326}
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  • https://www.mathnet.ru/eng/mzm/v109/i2/p276
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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