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» On Approximability of Minimum Bisection Problem
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FOCS
2000
IEEE
14 years 3 months ago
A polylogarithmic approximation of the minimum bisection
A bisection of a graph with n vertices is a partition of its vertices into two sets, each of size n/2. The bisection cost is the number of edges connecting the two sets. The proble...
Uriel Feige, Robert Krauthgamer
IPCO
2008
221views Optimization» more  IPCO 2008»
14 years 10 days ago
A Comparative Study of Linear and Semidefinite Branch-and-Cut Methods for Solving the Minimum Graph Bisection Problem
Abstract. Semidefinite relaxations are known to deliver good approximations for combinatorial optimization problems like graph bisection. Using the spectral bundle method it is pos...
Michael Armbruster, Marzena Fügenschuh, Chris...
STOC
1995
ACM
145views Algorithms» more  STOC 1995»
14 years 2 months ago
Polynomial time approximation schemes for dense instances of NP-hard problems
We present a unified framework for designing polynomial time approximation schemes (PTASs) for “dense” instances of many NP-hard optimization problems, including maximum cut,...
Sanjeev Arora, David R. Karger, Marek Karpinski
SPAA
2004
ACM
14 years 4 months ago
Balanced graph partitioning
We consider the problem of partitioning a graph into k components of roughly equal size while minimizing the capacity of the edges between different components of the cut. In part...
Konstantin Andreev, Harald Räcke