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» Approximating Sparsest Cut in Graphs of Bounded Treewidth
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JMLR
2012
11 years 10 months ago
Globally Optimizing Graph Partitioning Problems Using Message Passing
Graph partitioning algorithms play a central role in data analysis and machine learning. Most useful graph partitioning criteria correspond to optimizing a ratio between the cut a...
Elad Mezuman, Yair Weiss
CORR
2011
Springer
167views Education» more  CORR 2011»
13 years 2 months ago
On Quadratic Programming with a Ratio Objective
Quadratic Programming (QP) is the well-studied problem of maximizing over {−1, 1} values the quadratic form i=j aijxixj. QP captures many known combinatorial optimization proble...
Aditya Bhaskara, Moses Charikar, Rajsekar Manokara...
ICALP
2011
Springer
12 years 11 months ago
Improved Approximation for the Directed Spanner Problem
We present an O( √ n log n)-approximation algorithm for the problem of finding the sparsest spanner of a given directed graph G on n vertices. A spanner of a graph is a sparse ...
Piotr Berman, Arnab Bhattacharyya, Konstantin Maka...
APPROX
2005
Springer
106views Algorithms» more  APPROX 2005»
14 years 1 months ago
Approximating the Bandwidth of Caterpillars
A caterpillar is a tree in which all vertices of degree three or more lie on one path, called the backbone. We present a polynomial time algorithm that produces a linear arrangeme...
Uriel Feige, Kunal Talwar
COMPGEOM
2009
ACM
14 years 2 months ago
Randomly removing g handles at once
It was shown in [11] that any orientable graph of genus g can be probabilistically embedded into a graph of genus g − 1 with constant distortion. Removing handles one by one giv...
Glencora Borradaile, James R. Lee, Anastasios Sidi...