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COMPGEOM
2001
ACM
14 years 2 months ago
Balanced lines, halving triangles, and the generalized lower bound theorem
A recent result by Pach and Pinchasi on so-called balanced lines of a finite two-colored point set in the plane is related to other facts on halving triangles in 3-space and to a ...
Micha Sharir, Emo Welzl
STOC
1991
ACM
127views Algorithms» more  STOC 1991»
14 years 2 months ago
Lower Bounds for Randomized k-Server and Motion Planning Algorithms
In this paper, we prove lower bounds on the competitive ratio of randomized algorithms for two on-line problems: the k-server problem, suggested by [MMS], and an on-line motion-pl...
Howard J. Karloff, Yuval Rabani, Yiftach Ravid
ECCC
2010
90views more  ECCC 2010»
13 years 11 months ago
A note on circuit lower bounds from derandomization
We present an alternate proof of the result by Kabanets and Impagliazzo that derandomizing polynomial identity testing implies circuit lower bounds. Our proof is simpler, scales b...
Scott Aaronson, Dieter van Melkebeek
EOR
2006
104views more  EOR 2006»
13 years 11 months ago
An linear programming based lower bound for the simple assembly line balancing problem
The simple assembly line balancing problem is a classical integer programming problem in operations research. A set of tasks, each one being an indivisible amount of work requirin...
Marc Peeters, Zeger Degraeve
COMBINATORICS
2000
87views more  COMBINATORICS 2000»
13 years 10 months ago
Symmetric Sum-Free Partitions and Lower Bounds for Schur Numbers
We give new lower bounds for the Schur numbers S(6) and S(7). This will imply new lower bounds for the Multicolor Ramsey Numbers R6(3) and R7(3). We also make several observations...
Harold Fredricksen, Melvin M. Sweet