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Diskretnaya Matematika, 1996, Volume 8, Issue 2, Pages 108–116
DOI: https://doi.org/10.4213/dm521
(Mi dm521)
 

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

Search problems on graphs of regular polyhedra

N. N. Petrov
Abstract: We consider the $n$-search number of a graph which is defined as the minimal number of pursuers needed to catch a moving object on a connected graph provided that there are no constraints on their velocity; $n$ characterizes the required closeness of the pursuers to the evader. We give the $n$-search numbers for the graphs of all regular polyhedra.
Received: 24.04.1991
Bibliographic databases:
UDC: 517.977
Language: Russian
Citation: N. N. Petrov, “Search problems on graphs of regular polyhedra”, Diskr. Mat., 8:2 (1996), 108–116; Discrete Math. Appl., 6:3 (1996), 233–240
Citation in format AMSBIB
\Bibitem{Pet96}
\by N.~N.~Petrov
\paper Search problems on graphs of regular polyhedra
\jour Diskr. Mat.
\yr 1996
\vol 8
\issue 2
\pages 108--116
\mathnet{http://mi.mathnet.ru/dm521}
\crossref{https://doi.org/10.4213/dm521}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1405513}
\zmath{https://zbmath.org/?q=an:0869.90095}
\transl
\jour Discrete Math. Appl.
\yr 1996
\vol 6
\issue 3
\pages 233--240
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  • https://www.mathnet.ru/eng/dm/v8/i2/p108
  • 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
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