Using Mathematical Programming to Refine Heuristic Solutions for Network Clustering

Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 104)

Abstract

We propose mathematical programming-based approaches to refine graph clustering solutions computed by heuristics. Clustering partitions are refined by applying cluster splitting and a combination of merging and splitting actions. A refinement scheme based on iteratively fixing and releasing integer variables of a mixed-integer quadratic optimization formulation appears to be particularly efficient. Computational experiments show the effectiveness and efficiency of the proposed approaches.

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.ENACMAIAAToulouseFrance
  2. 2.Université de Toulouse, IMTToulouseFrance
  3. 3.GERADHEC MontréalCanada

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