Scientific publications

А.А. Азамов, А.Ш. Кучкаров, А.Г. Холбоев.

Игра преследования-убегания на реберном остове правильных многогранников. III

// Математическая Теория Игр и ее Приложения, т. 11, в. 4. 2019. C. 5-23

Abdulla A. Azamov, Atamurat Sh. Kuchkarov, Azamat G. Holboyev. The pursuit-evasion game on the 1-skeleton graph of the regular polyhedron. III // Mathematical Game Theory and Applications. Vol 11, No 4. 2019. Pp. 5-23

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.

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 R⁴. It is proven that
if n ≤ 2, then the evader wins in the game, and to the evader, if n ≥ 3
then the game finishes successfully for the group of pursuers.

Indexed at RSCI, RSCI (WS)

vol_11_4_05-23_azimov.pdf (825 Kb, total downloads: 105)

Last modified: December 20, 2019