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Matematicheskaya Teoriya Igr i Ee Prilozheniya, 2019, Volume 11, Issue 4, Pages 5–23 (Mi mgta246)  

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

The pursuit-evasion game on the $1$-skeleton graph of the regular polyhedron. III

Abdulla A. Azamov, Atamurat Sh. Kuchkarov, Azamat G. Holboyev

Institute of Mathematics
Full-text PDF (823 kB) Citations (3)
References:
Abstract: It is considered a game between a group of $n$ pursuers and one evader moving with the same maximal speed along $1$-skeleton of a given regular polyhedron. In this paper it is considered the case of the regular polyhedrons with $24$ and $120$ vertices in the space $\mathbb{R}^4$. It is proven that if $n \leqslant 2$, then the evader wins in the game, and to the evader, if $n \geqslant 3$ then the game finishes successfully for the group of pursuers.
Keywords: pursuit-evasion game, approach problem, evasion problem, positional strategy, counter strategy, exact catch, regular polyhedron with $24$ vertices, regular polyhedron with $120$ vertices, one-dimensional graph.
Received: 16.01.2019
Revised: 25.04.2019
Accepted: 10.06.2019
Document Type: Article
UDC: 517.97
BBC: 22.18
Language: Russian
Citation: Abdulla A. Azamov, Atamurat Sh. Kuchkarov, Azamat G. Holboyev, “The pursuit-evasion game on the $1$-skeleton graph of the regular polyhedron. III”, Mat. Teor. Igr Pril., 11:4 (2019), 5–23
Citation in format AMSBIB
\Bibitem{AzaKucHol19}
\by Abdulla~A.~Azamov, Atamurat~Sh.~Kuchkarov, Azamat~G.~Holboyev
\paper The pursuit-evasion game on the $1$-skeleton graph of the regular polyhedron.~III
\jour Mat. Teor. Igr Pril.
\yr 2019
\vol 11
\issue 4
\pages 5--23
\mathnet{http://mi.mathnet.ru/mgta246}
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  • https://www.mathnet.ru/eng/mgta/v11/i4/p5
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