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A deterministic subexponential algorithm for solving parity games
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Jurdzinski, Marcin, Paterson, Michael S. and Zwick, Uri (2006) A deterministic subexponential algorithm for solving parity games. In: 17th ACM-SIAM Symposium on Discrete Algorithms, Miami, FL, Jan 2006. Published in: Proceedings of the Seventeenth Annual ACM-SIAM Symposium on Discrete Algorithms pp. 117-123. ISBN 978-0-89871-605-4. ISSN 9780898716054.
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Abstract
The existence of polynomial time algorithms for the solution of parity games is a major open problem. The fastest known algorithms for the problem are randomized algorithms that run in subexponential time. These algorithms are all ultimately based on the randomized subexponential simplex algorithms of Kalai and of Matousek, Sharir and Welzl. Randomness seems to play an essential role in these algorithms. We use a completely different, and elementary, approach to obtain a deterministic subexponential algorithm for the solution of parity games. Our deterministic algorithm is almost as fast as the randomized algorithms mentioned above.
| Item Type: | Conference Item (Paper) | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software Q Science > QA Mathematics |
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| Divisions: | Faculty of Science, Engineering and Medicine > Science > Computer Science | ||||
| Journal or Publication Title: | Proceedings of the Seventeenth Annual ACM-SIAM Symposium on Discrete Algorithms | ||||
| Publisher: | SIAM | ||||
| ISBN: | 978-0-89871-605-4 | ||||
| ISSN: | 9780898716054 | ||||
| Official Date: | 2006 | ||||
| Dates: |
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| Number of Pages: | 7 | ||||
| Page Range: | pp. 117-123 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access | ||||
| Conference Paper Type: | Paper | ||||
| Title of Event: | 17th ACM-SIAM Symposium on Discrete Algorithms | ||||
| Type of Event: | Other | ||||
| Location of Event: | Miami, FL | ||||
| Date(s) of Event: | Jan 2006 |
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