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Diskretnaya Matematika, 2018, Volume 30, Issue 4, Pages 115–133
DOI: https://doi.org/10.4213/dm1515
(Mi dm1515)
 

This article is cited in 3 scientific papers (total in 3 papers)

Trees without twin-leaves with smallest number of maximal independent sets

D. S. Taletskiia, D. S. Malyshevb

a Lobachevski State University of Nizhni Novgorod
b National Research University "Higher School of Economics", Nizhny Novgorod Branch
Full-text PDF (277 kB) Citations (3)
References:
Abstract: For any $n$, in the set of $n$-vertex trees such that any two leaves have no common adjacent vertex, we describe the trees with the smallest number of maximal independent sets.
Keywords: extremal combinatorics, tree, maximal independent set.
Funding agency Grant number
Russian Foundation for Basic Research 18-31-20001-мол-а-вед
Received: 04.04.2018
Revised: 31.08.2018
English version:
Discrete Mathematics and Applications, 2020, Volume 30, Issue 1, Pages 53–67
DOI: https://doi.org/10.1515/dma-2020-0006
Bibliographic databases:
Document Type: Article
UDC: 519.172.1
Language: Russian
Citation: D. S. Taletskii, D. S. Malyshev, “Trees without twin-leaves with smallest number of maximal independent sets”, Diskr. Mat., 30:4 (2018), 115–133; Discrete Math. Appl., 30:1 (2020), 53–67
Citation in format AMSBIB
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\pages 115--133
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\jour Discrete Math. Appl.
\yr 2020
\vol 30
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\pages 53--67
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Linking options:
  • https://www.mathnet.ru/eng/dm1515
  • https://doi.org/10.4213/dm1515
  • https://www.mathnet.ru/eng/dm/v30/i4/p115
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Дискретная математика
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    Full-text PDF :81
    References:50
    First page:22
     
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