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Diskretnaya Matematika, 2022, Volume 34, Issue 2, Pages 26–31
DOI: https://doi.org/10.4213/dm1687
(Mi dm1687)
 

This article is cited in 1 scientific paper (total in 1 paper)

.Cloning operations and graph diameter

M. A. Iordanskiiab

a Lobachevski State University of Nizhni Novgorod
b Minin State Pedagogical University of Nizhny Novgorod
Full-text PDF (349 kB) Citations (1)
References:
Abstract: The influence of the subgraph cloning operation on the graph diameter is studied. The corresponding potential increase in the diameter is estimated. Conditions under which the subgraph cloning operation causes no change in the graph diameter are formulated. An example of using the cloning operation to construct a family of fat trees is presented. The diameter of such graphs and the complexity of their design are estimated.
Keywords: graph, eccentricity, diameter, cloning operation, support vertex.
Received: 21.11.2021
English version:
Discrete Mathematics and Applications, 2024, Volume 34, Issue 4, Pages 207–210
DOI: https://doi.org/10.1515/dma-2024-0017
Document Type: Article
UDC: 519.17
Language: Russian
Citation: M. A. Iordanskii“.Cloning operations and graph diameter”, Diskr. Mat., 34:2 (2022), 26–31; Discrete Math. Appl., 34:4 (2024), 207–210
Citation in format AMSBIB
\Bibitem{Ior22}
\by M.~A.~Iordanskii
\paper .Cloning operations and graph diameter
\jour Diskr. Mat.
\yr 2022
\vol 34
\issue 2
\pages 26--31
\mathnet{http://mi.mathnet.ru/dm1687}
\crossref{https://doi.org/10.4213/dm1687}
\transl
\jour Discrete Math. Appl.
\yr 2024
\vol 34
\issue 4
\pages 207--210
\crossref{https://doi.org/10.1515/dma-2024-0017}
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  • https://www.mathnet.ru/eng/dm1687
  • https://doi.org/10.4213/dm1687
  • https://www.mathnet.ru/eng/dm/v34/i2/p26
  • 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
    Дискретная математика
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    Abstract page:224
    Full-text PDF :56
    References:77
    First page:15
     
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