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Given d (0, ) let kd be the smallest integer k such that d < 2k log k. We prove that the chromatic number of a random graph G(n, d/n) is either kd or kd + 1 almost surely.
The problem of finding a local minimum of a black-box function is central for understanding local search as well as quantum adiabatic algorithms. For functions on the Boolean hype...
Abstract. We present a deterministic O(log n log log n) space algorithm for undirected stconnectivity. It is based on a space-efficient simulation of the deterministic EREW algorit...
We continue the study of amplification of average-case complexity within NP, and we focus on the uniform case. We prove that if every problem in NP admits an efficient uniform alg...
We present a quantum algorithm for the computation of the irrational period lattice of a function on Zn which is periodic in a relaxed sense. This algorithm is applied to compute t...
We study the problem of obfuscation in the context of point functions (also known as delta functions). A point function is a Boolean function that assumes the value 1 at exactly o...
We study the spectral norm of matrices M that can be factored as M = BA, where A is a random matrix with independent mean zero entries and B is a fixed matrix. Under the (4 + )-th ...
We present a deterministic, log-space algorithm that solves st-connectivity in undirected graphs. The previous bound on the space complexity of undirected st-connectivity was log4...