Papers › A Recursive Approach to Solving Parity Games in Quasipolynomial Time
A Recursive Approach to Solving Parity Games in Quasipolynomial Time
Karoliina Lehtinen, Paweł Parys, Sven Schewe, Dominik Wojtczak
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Zielonka's classic recursive algorithm for solving parity games is perhaps the simplest among the many existing parity game algorithms. However, its complexity is exponential, while currently the state-of-the-art algorithms have quasipolynomial complexity. Here, we present a modification of Zielonka's classic algorithm that brings its complexity down to n^(O(log(1+d/logn))), for parity games of size n with d priorities, in line with previous quasipolynomial-time solutions.
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