@TechReport{ it:2002-026, author = {Henrik Bj{\"o}rklund and Sven Sandberg and Sergei Vorobyov}, title = {A Discrete Subexponential Algorithm for Parity Games}, institution = {Department of Information Technology, Uppsala University}, department = {Computing Science Division}, year = {2002}, number = {2002-026}, month = sep, abstract = { We suggest a new randomized algorithm for solving Parity Games with the worst case time complexity roughly \[\min\left(O\left( n^3 \cdot \left( \frac{n}{k}+1 \right)^k \right), \;2^{O(\sqrt{n\log n})}\right),\] 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, $k = \Omega(n^{1/2 + \varepsilon})$. } }