The Client-Server 2-Spanner Problem and Applications to Network Design

  • Authors:
  • M. Elkin;D. Peleg

  • Affiliations:
  • -;-

  • Venue:
  • The Client-Server 2-Spanner Problem and Applications to Network Design
  • Year:
  • 1999

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Abstract

This paper studies the client-server version of the 2-spanner problem. This is a natural generalization of the sparse 2-spanner problem that turns out to be useful for certain network design problems. The paper presents a logarithmic ratio approximation algorithm for this problem. The algorithm and the analysis are extended to the directed client-server 2-spanner problem and to the client-server augmentation 2-spanner problem, establishing a logarithmic approximation ratio for these problems too. The paper also studies the bounded-diameter network design (BDND) problem, and establishes a logarithmic approximation ratio for the problem, using the tools developed for the client-server 2-spanner problem.