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» On Approximating the Average Distance Between Points
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WADS
2005
Springer
132views Algorithms» more  WADS 2005»
14 years 26 days ago
Communication-Aware Processor Allocation for Supercomputers
Abstract. We give processor-allocation algorithms for grid architectures, where the objective is to select processors from a set of available processors to minimize the average num...
Michael A. Bender, David P. Bunde, Erik D. Demaine...
CORR
2012
Springer
228views Education» more  CORR 2012»
12 years 3 months ago
Faster Approximate Distance Queries and Compact Routing in Sparse Graphs
A distance oracle is a compact representation of the shortest distance matrix of a graph. It can be queried to retrieve approximate distances and corresponding paths between any p...
Rachit Agarwal, Brighten Godfrey, Sariel Har-Peled
FOCS
2004
IEEE
13 years 11 months ago
Worst-Case to Average-Case Reductions Based on Gaussian Measures
We show that finding small solutions to random modular linear equations is at least as hard as approximating several lattice problems in the worst case within a factor almost line...
Daniele Micciancio, Oded Regev
ANOR
2006
64views more  ANOR 2006»
13 years 7 months ago
A note on asymptotic formulae for one-dimensional network flow problems
This note develops asymptotic formulae for single-commodity network flow problems with random inputs. The transportation linear programming problem (TLP) where N points lie in a r...
Carlos F. Daganzo, Karen R. Smilowitz
COMPGEOM
2006
ACM
14 years 1 months ago
Minimum-cost load-balancing partitions
We consider the problem of balancing the load among m service-providing facilities, while keeping the total cost low. Let R be the underlying demand region, and let p1, . . . , pm...
Boris Aronov, Paz Carmi, Matthew J. Katz