Variable Neighborhood Search for the K-Cardinality Tree

  • Nenad Mladenović
  • Dragan Urošević
Part of the Applied Optimization book series (APOP, volume 86)


The minimum k-cardinality tree problem on graph G consists in finding a subtree of G with exactly k edges whose sum of weights is minimum. In this paper we propose variable neighborhood search heuristic for solving it. We also analyze different shaking strategies and their influence on the final solution. New methods are compared favorably with other heuristics from the literature.


Graphs k-cardinality tree Variable neighborhood search Optimization. 


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Copyright information

© Springer Science+Business Media New York 2003

Authors and Affiliations

  • Nenad Mladenović
    • 1
    • 2
  • Dragan Urošević
    • 1
  1. 1.Mathematical Institute of Serbian Academy of Sciences and ArtsBelgradeSerbia and Montenegro
  2. 2.GERAD, H.E.CMontrealCanada

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