On the number of pursuers that guarantees the capture of the evader in the game on the graph of icosahedral edges

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.

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Publication Details

Journal
Mathematical Game Theory and Applications
Published
2024-12-03
DOI
https://doi.org/10.17076/mgta_2024_3_77
Primary Topic
Guidance and Control Systems
Type
article
Field-Weighted Citation Impact
0.00
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article

On the number of pursuers that guarantees the capture of the evader in the game on the graph of icosahedral edges

Абдулла Азамов, A. G. Holboyev, Азамат Холбоев
Mathematical Game Theory and Applications
Guidance and Control Systems
article

On the number of pursuers that guarantees the capture of the evader in the game on the graph of icosahedral edges

Абдулла Азамов, A. G. Holboyev, Азамат Холбоев
article en

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.

Mathematical Game Theory and ApplicationsVol. 16(3)
Academy of Sciences Republic of Uzbekistan (UZ), National Pedagogical University of Uzbekistan named after Nizami (UZ)
Openalex Percentile: Top 64%
Guidance and Control Systems
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