Errata for: A subexponential lower bound for the Random Facet algorithm for Parity Games [article]

Oliver Friedmann and Thomas Dueholm Hansen and Uri Zwick
2014 arXiv   pre-print
In Friedmann, Hansen, and Zwick (2011) we claimed that the expected number of pivoting steps performed by the Random-Facet algorithm of Kalai and of Matousek, Sharir, and Welzl is equal to the expected number of pivoting steps performed by Random-Facet^*, a variant of Random-Facet that bases its random decisions on one random permutation. We then obtained a lower bound on the expected number of pivoting steps performed by Random-Facet^* and claimed that the same lower bound holds also for
more » ... -Facet. Unfortunately, the claim that the expected numbers of steps performed by Random-Facet and Random-Facet^* are the same is false. We provide here simple examples that show that the expected numbers of steps performed by the two algorithms are not the same.
arXiv:1410.7871v1 fatcat:dlj3nlyqwjfmlodj7ffpgxnpaq