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PPSC
1997
13 years 7 months ago
A Coarse-Grain Parallel Formulation of Multilevel k-way Graph Partitioning Algorithm
In this paper we present a parallel formulation of a multilevel k-way graph partitioning algorithm, that is particularly suited for message-passing libraries that have high latenc...
George Karypis, Vipin Kumar
STOC
2004
ACM
88views Algorithms» more  STOC 2004»
14 years 6 months ago
Expander flows, geometric embeddings and graph partitioning
We give a O( log n)-approximation algorithm for sparsest cut, edge expansion, balanced separator, and graph conductance problems. This improves the O(log n)-approximation of Leig...
Sanjeev Arora, Satish Rao, Umesh V. Vazirani
FOCS
2006
IEEE
13 years 11 months ago
Local Graph Partitioning using PageRank Vectors
A local graph partitioning algorithm finds a cut near a specified starting vertex, with a running time that depends largely on the size of the small side of the cut, rather than...
Reid Andersen, Fan R. K. Chung, Kevin J. Lang
CORR
2011
Springer
268views Education» more  CORR 2011»
12 years 9 months ago
Approximation Algorithms for Submodular Multiway Partition
Abstract— We study algorithms for the SUBMODULAR MULTIWAY PARTITION problem (SUB-MP). An instance of SUB-MP consists of a finite ground set V , a subset S = {s1, s2, . . . , sk}...
Chandra Chekuri, Alina Ene
CORR
2006
Springer
127views Education» more  CORR 2006»
13 years 5 months ago
Post-Processing Hierarchical Community Structures: Quality Improvements and Multi-scale View
Dense sub-graphs of sparse graphs (communities), which appear in most real-world complex networks, play an important role in many contexts. Most existing community detection algori...
Pascal Pons