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STOC
2005
ACM
101views Algorithms» more  STOC 2005»
15 years 10 months ago
Lower bounds for k-DNF resolution on random 3-CNFs
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...
Michael Alekhnovich
STOC
2005
ACM
139views Algorithms» more  STOC 2005»
15 years 10 months ago
Spectral norm of random matrices
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 ...
Van H. Vu
STOC
2005
ACM
104views Algorithms» more  STOC 2005»
15 years 10 months ago
Beyond NP: the work and legacy of Larry Stockmeyer
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...
Lance Fortnow
STOC
2005
ACM
163views Algorithms» more  STOC 2005»
15 years 10 months ago
Undirected ST-connectivity in log-space
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...
Omer Reingold
STOC
2005
ACM
133views Algorithms» more  STOC 2005»
15 years 10 months ago
An O(log n log log n) space algorithm for undirected st-connectivity
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...
Vladimir Trifonov