DIMACS TR: 96-52

Randomized Omega (n^2) Lower Bound for Knapsac

Authors: Dima Grigoriev, Marek Karpinski


We prove Omega (n^2) 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 complexity of a polynomial which could be of independent interest.

Paper Available at: ftp://dimacs.rutgers.edu/pub/dimacs/TechnicalReports/TechReports/1996/96-52.ps.gz
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