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A Discrete Subexponential Algorithm for Parity Games

Björklund, Henrik (author)
Uppsala universitet,Institutionen för informationsteknologi,Datalogi,Computing science
Sandberg, Sven (author)
Uppsala universitet,Institutionen för informationsteknologi,Datalogi,Computing science
Vorobyov, Sergei (author)
Uppsala universitet,Institutionen för informationsteknologi,Datalogi,Computing science
 (creator_code:org_t)
2002
English.
Series: Technical report / Department of Information Technology, Uppsala University, 1404-3203 ; 2002-026
  • Reports (other academic/artistic)
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  • We suggest a new randomized algorithm for solving Parity Games with the worst case time complexity roughlymin(O( n3 · ( n/k+1 )k),  2O(sqrt(nlog n))),where n is the number of vertices and k the number of colors of the game. Comparable with the previously known algorithms, which are efficient when the number of colors is small, it is subexponential when the number of colors is large, k = Omega (n1/2 + varepsilon). 

Subject headings

NATURVETENSKAP  -- Data- och informationsvetenskap (hsv//swe)
NATURAL SCIENCES  -- Computer and Information Sciences (hsv//eng)

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