Improving the complexity of Parys' recursive algorithm
Karoliina Lehtinen, Sven Schewe, Dominik Wojtczak · arXiv (Cornell University) · 2019
Parys has recently proposed a quasi-polynomial version of Zielonka's recursive algorithm for solving parity games. In this brief note we suggest a variation of his algorithm that improves the complexity to meet the state-of-the-art complexity of broadly $2^{O((\log n)(\log c))}$, while providing polynomial bounds when the number of colours is logarithmic.