We prove exponential lower bounds for the refutation of a random 3-CNF with linear number of clauses by k-DNF Resolution for k log n/ log log n. For this we design a specially ta...
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 ...
Shortly after Steven Cook and Richard Karp showed the existence of many natural NP-complete languages, researchers started to realize the great importance of the P versus NP probl...
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...
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...