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SODA
1997
ACM
93views Algorithms» more  SODA 1997»
13 years 10 months ago
Fast Approximate Graph Partitioning Algorithms
We study graph partitioning problems on graphs with edge capacities and vertex weights. The problems of b-balanced cuts and k-balanced partitions are unified into a new problem ca...
Guy Even, Joseph Naor, Satish Rao, Baruch Schieber
ICALP
2009
Springer
14 years 9 months ago
Node-Weighted Steiner Tree and Group Steiner Tree in Planar Graphs
We improve the approximation ratios for two optimization problems in planar graphs. For node-weighted Steiner tree, a classical network-optimization problem, the best achievable ap...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Philip ...
APPROX
2009
Springer
126views Algorithms» more  APPROX 2009»
14 years 3 months ago
Improved Inapproximability Results for Maximum k-Colorable Subgraph
We study the maximization version of the fundamental graph coloring problem. Here the goal is to color the vertices of a k-colorable graph with k colors so that a maximum fraction ...
Venkatesan Guruswami, Ali Kemal Sinop
TC
2011
13 years 3 months ago
Improved Division by Invariant Integers
—This paper considers the problem of dividing a two-word integer by a single-word integer, together with a few extensions and applications. Due to lack of efficient division ins...
Niels Moller, Torbjörn Granlund
WAE
2000
103views Algorithms» more  WAE 2000»
13 years 10 months ago
Lattice Basis Reduction with Dynamic Approximation
Abstract. In this paper we present a heuristic based on dynamic approximations for improving the well-known Schnorr-Euchner lattice basis reduction algorithm. In particular, the ne...
Werner Backes, Susanne Wetzel