Approximating independent set in perturbed graphs

作者:Manthey Bodo*; Plociennik Kai
来源:Discrete Applied Mathematics, 2013, 161(12): 1761-1768.
DOI:10.1016/j.dam.2012.06.008

摘要

For the maximum independent set problem, strong inapproximability bounds for worst-case efficient algorithms exist. We give a deterministic algorithm beating these bounds, with polynomial expected running-time for semi-random graphs: an adversary chooses a graph with n vertices, and then edges are flipped with a probability of epsilon. Our algorithm guarantees an approximation ratio of O(root n epsilon) for sufficiently large epsilon.

  • 出版日期2013-8