Powers of graphs: A powerful approximation technique for bottleneck problems

  • Authors:
  • Dorit S. Hochbaum;David B. Shmoys

  • Affiliations:
  • -;-

  • Venue:
  • STOC '84 Proceedings of the sixteenth annual ACM symposium on Theory of computing
  • Year:
  • 1984

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Abstract

In this paper we investigate a powerful, and yet simple, technique for devising approximation algorithms for a wide variety of NP-complete problems in routing, location, and communication network design. Each of the algorithms presented here delivers an approximate solution guaranteed to be within a constant factor of the optimal solution. In addition, for several of these problems we can show that unless P&eqil;NP, there does not exist a polynomial-time algorithm that has a better performance guarantee.