There are many randomized "divide and conquer" algorithms, such as randomized Quicksort, whose operation involves partitioning a problem of size n uniformly at random int...
In this paper, we present the first average-case analysis proving an expected polynomial running time for an exact algorithm for the 0/1 knapsack problem. In particular, we prove,...
In [Sch99], Sch¨oning proposed a simple yet efficient randomized algorithm for solving the k-SAT problem. In the case of 3-SAT, the algorithm has an expected running time of poly...
Abstract—A poorly understood but important factor in random testing is the selection of a maximum length for test runs. Given a limited time for testing, it is seldom clear wheth...
James H. Andrews, Alex Groce, Melissa Weston, Ru-G...
Abstract. In recent years, probabilistic analyses of algorithms have received increasing attention. Despite results on the average-case complexity and smoothed complexity of exact ...