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SIAMCOMP
2008
124views more  SIAMCOMP 2008»
13 years 8 months ago
A Faster, Better Approximation Algorithm for the Minimum Latency Problem
We give a 7.18-approximation algorithm for the minimum latency problem that uses only O(n log n) calls to the prize-collecting Steiner tree (PCST) subroutine of Goemans and Willia...
Aaron Archer, Asaf Levin, David P. Williamson
JC
2006
97views more  JC 2006»
13 years 8 months ago
Optimal approximation of elliptic problems by linear and nonlinear mappings II
We study the optimal approximation of the solution of an operator equation A(u) = f by four types of mappings: a) linear mappings of rank n; b) n-term approximation with respect t...
Stephan Dahlke, Erich Novak, Winfried Sickel
FOCS
2005
IEEE
14 years 2 months ago
An Approximation Algorithm for the Disjoint Paths Problem in Even-Degree Planar Graphs
In joint work with ´Eva Tardos in 1995, we asked whether it was possible to obtain a polynomial-time, polylogarithmic approximation algorithm for the disjoint paths problem in th...
Jon M. Kleinberg
STOC
2010
ACM
186views Algorithms» more  STOC 2010»
14 years 1 months ago
Faster approximation schemes for fractional multicommodity flow problems via dynamic graph algorithms
We combine the work of Garg and K¨onemann, and Fleischer with ideas from dynamic graph algorithms to obtain faster (1 − ε)-approximation schemes for various versions of the mu...
Aleksander Madry
MFCS
2001
Springer
14 years 1 months ago
On the Approximability of the Steiner Tree Problem
We show that it is not possible to approximate the minimum Steiner tree problem within 1 + 1 162 unless RP = NP. The currently best known lower bound is 1 + 1 400. The reduction i...
Martin Thimm