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An Iterative Refinement Algorithm for the Minimum Branch Vertices Problem

  • Diego M. Silva
  • Ricardo M. A. Silva
  • Geraldo R. Mateus
  • José F. Gonçalves
  • Mauricio G. C. Resende
  • Paola Festa
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6630)

Abstract

This paper presents a new approach to solve the NP-complete minimum branch vertices problem (MBV) introduced by Gargano et. al [1]. In spite of being a recently proposed problem in the network optimization literature, there are some heuristics to solve it [3]. The main contribution of this paper consists in a new heuristic based on the iterative refinement approach proposed by Deo and Kumar [2]. The experimental results suggest that this approach is capable of finding solutions that are better than the best known in the literature. In this work, for instance, the proposed heuristic found better solutions for 78% of the instances tested. The heuristic looks very promising for the solution of problems related with constrained spanning trees.

Keywords

Constrained spanning trees Branch vertices Iterative refinement 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Diego M. Silva
    • 1
    • 2
  • Ricardo M. A. Silva
    • 1
    • 3
  • Geraldo R. Mateus
    • 2
  • José F. Gonçalves
    • 4
  • Mauricio G. C. Resende
    • 5
  • Paola Festa
    • 6
  1. 1.Dept. of Computer ScienceFederal University of LavrasLavrasBrazil
  2. 2.Dept. of Computer ScienceFederal University of Minas GeraisBelo HorizonteBrazil
  3. 3.Center of InformaticsFederal University of PernambucoRecifeBrazil
  4. 4.LIAAD, Faculdade de Economia do PortoPortoPortugal
  5. 5.AT&T Labs ResearchInternet and Network Systems ResearchFlorham ParkUSA
  6. 6.Dept. of Mathematics and Applications ‘‘R. Caccioppoli’’University of Napoli FEDERICO IINapoliItaly

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