• Corpus ID: 238582920

The GKK Algorithm is the Fastest over Simple Mean-Payoff Games

@article{Ohlmann2021TheGA,
  title={The GKK Algorithm is the Fastest over Simple Mean-Payoff Games},
  author={Pierre Ohlmann},
  journal={ArXiv},
  year={2021},
  volume={abs/2110.04533}
}
We study the algorithm of Gurvich, Karzanov and Khachyian (GKK algorithm) when it is ran over mean-payoff games with no simple cycle of weight zero. We propose a new symmetric analysis, lowering the O(n2N) upper-bound of Pisaruk on the number of iterations down to N+E+ +E−+1 ≤ nN + 1, where n is the number of vertices, N is the largest absolute value of a weight, and E+ and E− are respectively the largest finite energy and dual-energy values of the game. Since each iteration is computed in O(m… 

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