Title
One-half approximation algorithms for the k-partition problem
Abstract
The k-partition problem seeks to cluster the vertices of an edge-weighted graph, G = (V,E), into k sets of \V\/k vertices each, such that the total weight of the edges having both endpoints in the same cluster is maximized. Bottom-up type heuristics based on matchings are presented for this problem. These heuristics are shown to yield solutions that are at least one-half the weight of the optimal solution for k equal to \V\/3 and \V\/4.
Year
DOI
Venue
1992
10.1287/opre.40.1.S170
Operations Research
Field
DocType
Volume
Graph theory,Partition problem,Approximation algorithm,Discrete mathematics,Graph,Mathematical optimization,Combinatorics,Vertex (geometry),Heuristics,Graph partition,Mathematics,One half
Journal
40
Issue
ISSN
Citations 
S1
0030-364X
20
PageRank 
References 
Authors
5.21
2
3
Name
Order
Citations
PageRank
Thomas A. Feo116323.88
Olivier Goldschmidt2205.21
Mallek Khellaf35210.65