English

Improving the complexity of Parys' recursive algorithm

Computer Science and Game Theory 2019-06-06 v4 Data Structures and Algorithms

Abstract

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 2O((logn)(logc))2^{O((\log n)(\log c))}, while providing polynomial bounds when the number of colours is logarithmic.

Keywords

Cite

@article{arxiv.1904.11810,
  title  = {Improving the complexity of Parys' recursive algorithm},
  author = {Karoliina Lehtinen and Sven Schewe and Dominik Wojtczak},
  journal= {arXiv preprint arXiv:1904.11810},
  year   = {2019}
}
R2 v1 2026-06-23T08:50:24.408Z