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FOCS
1991
IEEE
15 years 7 months ago
Computing Sums of Radicals in Polynomial Time
For sums of radicals Pk i=1 i di p i, where i; i are elements of some real algebraic number eld Q( ); di p i 2 R; we present a deterministic polynomial time algorithm to decide wh...
Johannes Blömer
FOCS
1991
IEEE
15 years 7 months ago
On the Exponent of the All Pairs Shortest Path Problem
The upper bound on the exponent, ω, of matrix multiplication over a ring that was three in 1968 has decreased several times and since 1986 it has been 2.376. On the other hand, t...
Noga Alon, Zvi Galil, Oded Margalit
FOCS
1991
IEEE
15 years 7 months ago
Lower Bounds for the Complexity of Reliable Boolean Circuits with Noisy Gates
We prove that the reliable computation of any Boolean function with sensitivity s requires Ω(s log s) gates if the gates of the circuit fail independently with a fixed positive...
Anna Gál
FOCS
1991
IEEE
15 years 7 months ago
Competitive Algorithms for Layered Graph Traversal
Amos Fiat, Dean P. Foster, Howard J. Karloff, Yuva...
FOCS
1991
IEEE
15 years 7 months ago
A parallel algorithmic version of the Local Lemma
The Lov´asz Local Lemma is a tool that enables one to show that certain events hold with positive, though very small probability. It often yields existence proofs of results with...
Noga Alon
Theoretical Computer Science
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