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SIAMCOMP
2008
124views more  SIAMCOMP 2008»
15 years 5 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»
15 years 5 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
15 years 11 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»
15 years 10 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
15 years 10 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