, Volume 55, Issue 1, pp 42–59 | Cite as

An Improved Analysis for a Greedy Remote-Clique Algorithm Using Factor-Revealing LPs

  • Benjamin BirnbaumEmail author
  • Kenneth J. Goldman


Given a positive integer k and a complete graph with non-negative edge weights satisfying the triangle inequality, the remote-clique problem is to find a subset of k vertices having a maximum-weight induced subgraph. A greedy algorithm for the problem has been shown to have an approximation ratio of 4, but this analysis was not shown to be tight. In this paper, we use the technique of factor-revealing linear programs to show that the greedy algorithm actually achieves an approximation ratio of 2, which is tight.


Approximation algorithms Dispersion Factor-revealing linear programs Remote-clique 


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Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  1. 1.Department of Computer Science and EngineeringUniversity of WashingtonSeattleUSA
  2. 2.Department of Computer Science and EngineeringWashington University in St. LouisSt. LouisUSA

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