Randomized Omega(n2) Lower Bound for Knapsack

@inproceedings{Grigoriev1996RandomizedOL,
  title={Randomized Omega(n2) Lower Bound for Knapsack},
  author={Dima Grigoriev and Marek Karpinski},
  booktitle={STOC},
  year={1996}
}
We prove f2(n2 ) complexity lower bound for the general model of randomized computation trees solving the Knapsack Problem, and more generally Restricted Integer Programming. This is the first nontrivial lower bound proven for this model of computation. The method of the proof depends crucially on the new technique for proving lower bounds on the border… CONTINUE READING