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FOCS
1991
IEEE
14 years 2 months ago
Walking an Unknown Street with Bounded Detour
A polygon with two distinguished vertices, s and g, is called a street iff the two boundary chains from s to g are mutually weakly visible. For a mobile robot with on-board vision...
Rolf Klein
FOCS
1991
IEEE
14 years 2 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
14 years 2 months ago
Competitive Algorithms for Layered Graph Traversal
Amos Fiat, Dean P. Foster, Howard J. Karloff, Yuva...
FOCS
1991
IEEE
14 years 2 months ago
Dynamic Three-Dimensional Linear Programming
We perform linear programming optimizations on the intersection of k polyhedra in R3 , represented by their outer recursive decompositions, in expected time O(k log k log n + √ ...
David Eppstein
FOCS
1991
IEEE
14 years 2 months ago
A General Approach to Removing Degeneracies
We wish to increase the power of an arbitrary algorithm designed for non-degenerate input, by allowing it to execute on all inputs. We concentrate on in nitesimal symbolic perturba...
Ioannis Z. Emiris, John F. Canny
FOCS
1991
IEEE
14 years 2 months ago
Communication Complexity Towards Lower Bounds on Circuit Depth
Karchmer, Raz, and Wigderson, 1991, discuss the circuit depth complexity of n bit Boolean functions constructed by composing up to d = logn=loglogn levels of k = logn bit boolean
Jeff Edmonds, Steven Rudich, Russell Impagliazzo, ...
FOCS
1991
IEEE
14 years 2 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
14 years 2 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
14 years 2 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