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New Advances in Reoptimizing the Minimum Steiner Tree Problem

  • Davide Bilò
  • Anna Zych
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7464)

Abstract

In this paper we improve the results in the literature concerning the problem of computing the minimum Steiner tree given the minimum Steiner tree for a similar problem instance. Using a σ-approximation algorithm computing the minimum Steiner tree from scratch, we provide a \(\left(\frac{3 \sigma-1}{2 \sigma-1}+\epsilon\right)\) and a \(\left(\frac{2 \sigma-1}{\sigma}+\epsilon\right)\) -approximation algorithm for altering the instance by removing a vertex from the terminal set and by increasing the cost of an edge, respectively. If we use the best up to date σ = ln 4 + ε, our ratios equal 1.218 and 1.279 respectively.

Keywords

Problem Instance Approximation Ratio Steiner Tree Recursive Call Steiner Tree Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Davide Bilò
    • 1
  • Anna Zych
    • 2
  1. 1.Dip.to di Teorie e Ricerche dei Sistemi CulturaliUniversity of SassariItaly
  2. 2.Uniwersytet WarszawskiPoland

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