O‘zbekiston matematika jurnali Volume 70 Issue 1 (2026)

Differential game with slow pursuers on the 1-skeleton graph of the dodecahedron

Ibaydullaev, T., Ibragimov, G., Holboyev, A., Muxammadjonov, A.

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Abstract

This work is devoted to study pursuit problems involving multiple pursuers and a single evader, all moving on the 1-skeleton graph of the dodecahedron. Solutions to the pursuit problems are provided, where the maximum speeds of the pursuers are less than the maximum speed of the evader. Conditions for the maximum speeds of the pursuers are obtained and a strategy for the pursuers to capture the evader is presented.

Differential gamepursuersevaderpursuit problem1-skeleton graph of the dodecahedronslow evadersnumber of pursuers

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Cite

APA 7 
Ibaydullaev, T., Ibragimov, G., Holboyev, A. & Muxammadjonov, A. (2026). Differential game with slow pursuers on the 1-skeleton graph of the dodecahedron. O‘zbekiston matematika jurnali, 70(1).
GOST R 7.0.5 
Ibaydullaev, T., Ibragimov, G., Holboyev, A., Muxammadjonov, A. Differential game with slow pursuers on the 1-skeleton graph of the dodecahedron // O‘zbekiston matematika jurnali. 2026. Т. 70. № 1.
BibTeX 
@article{t.2026,
  author  = {Ibaydullaev, T. and Ibragimov, G. and Holboyev, A. and Muxammadjonov, A.},
  title   = {Differential game with slow pursuers on the 1-skeleton graph of the dodecahedron},
  journal = {O‘zbekiston matematika jurnali},
  year    = {2026},
  volume  = {70},
  number  = {1}
}
RIS 
TY  - JOUR
AU  - Ibaydullaev, T.
AU  - Ibragimov, G.
AU  - Holboyev, A.
AU  - Muxammadjonov, A.
TI  - Differential game with slow pursuers on the 1-skeleton graph of the dodecahedron
JO  - O‘zbekiston matematika jurnali
PY  - 2026
VL  - 70
IS  - 1
ER  -