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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 4, Pages 694–703
DOI: https://doi.org/10.7868/S004446691604013X (Mi zvmmf10373) 		 
Exponential examples of solving parity games

V. N. Lebedev

Volgograd State University
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DOI: https://doi.org/10.7868/S004446691604013X
Abstract: This paper is devoted to solving certain problems on the computational complexity of deciding the winner in cyclic games. The main result is the proof of the fact that the nondeterministic potential transformation algorithm designed for solving parity games is exponential in terms of computation time.
Key words: cyclic game, potential transformations, computational complexity, deciding the winner in cyclic games.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-97002_р_поволжье_а
This work was supported in part by the Russian Foundation for Basic Research (project no. 15-01-04146) and by the Russian Academy of Sciences (project no. 3, Division of Mathematical Sciences).
Received: 14.03.2014
Revised: 25.09.2015
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 4, Pages 688–697
DOI: https://doi.org/10.1134/S0965542516040114
Bibliographic databases:
Document Type: Article
UDC: 519.7
Language: Russian
Citation: V. N. Lebedev, “Exponential examples of solving parity games”, Zh. Vychisl. Mat. Mat. Fiz., 56:4 (2016), 694–703; Comput. Math. Math. Phys., 56:4 (2016), 688–697
Citation in format AMSBIB
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