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Matematicheskaya Teoriya Igr i Ee Prilozheniya, 2024, Volume 16, Issue 3, Pages 3–13 (Mi mgta350)  
On the number of pursuers that guarantees the capture of the evader in the game on the graph of icosahedral edges

Abdulla A. Azamova, Azamat G. Holboyevb

a Institute of Mathematics, Uzbekistan Academy of Science
b Tashkent State Pedagogical University
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Abstract: The article is devoted to the study of the change in the optimal number of pursuers when removing one edge in a differential game on graphs. It is shown that when one edge of the icosahedron is removed, two pursuers are sufficient to capture the evader, whereas for the icosahedron itself, this number is 3.
Keywords: pursuit problem, evasion problem, pursuers strategy, geometric graph, icosahedron.
Received: 08.04.2024
Revised: 15.09.2024
Accepted: 16.09.2024
Document Type: Article
UDC: 517.97
BBC: 22.18
Language: Russian
Citation: Abdulla A. Azamov, Azamat G. Holboyev, “On the number of pursuers that guarantees the capture of the evader in the game on the graph of icosahedral edges”, Mat. Teor. Igr Pril., 16:3 (2024), 3–13
Citation in format AMSBIB
\Bibitem{AzaHol24}
\by Abdulla~A.~Azamov, Azamat~G.~Holboyev
\paper On the number of pursuers that guarantees the capture of the evader in the game on the graph of icosahedral edges
\jour Mat. Teor. Igr Pril.
\yr 2024
\vol 16
\issue 3
\pages 3--13
\mathnet{http://mi.mathnet.ru/mgta350}
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