Experimental analysis of algorithms for updating minimum spanning trees on graphs subject to changes on edge weights

  • Authors:
  • Celso C. Ribeiro;Rodrigo F. Toso

  • Affiliations:
  • Institute of Computing, Universidade Federal Fluminense, Niterói, RJ, Brazil;Institute of Computing, Universidade Federal Fluminense, Niterói, RJ, Brazil

  • Venue:
  • WEA'07 Proceedings of the 6th international conference on Experimental algorithms
  • Year:
  • 2007

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Abstract

We consider the problem of maintaining a minimum spanning tree of a dynamically changing graph, subject to changes on edge weights. We propose an on-line fully-dynamic algorithm that runs in time O(|E|) when the easy-to-implement DRD-trees data structure for dynamic trees is used. Numerical experiments illustrate the efficiency of the approach.