A distributed approximation algorithm for the minimum degree minimum weight spanning trees

  • Authors:
  • Christian Lavault;Mario Valencia-Pabon

  • Affiliations:
  • LIPN, CNRS UMR 7030, Université Paris-Nord, Avenue J.-B. Clément, 93430 Villetaneuse, France;LIPN, CNRS UMR 7030, Université Paris-Nord, Avenue J.-B. Clément, 93430 Villetaneuse, France

  • Venue:
  • Journal of Parallel and Distributed Computing
  • Year:
  • 2008

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Abstract

Fischer proposes in [T. Fischer, Optimizing the degree of minimum weight spanning trees, Technical Report 93-1338, Department of Computer Science, Cornell University, Ithaca, NY, USA, 1993] a sequential algorithm to compute a minimum weight spanning tree of maximum degree at most b@D^*+@?log"bn@? in time On^4^+^1^/^l^n^b for any constant b1, where @D^* is the maximum degree value of an optimal solution and n is the number of nodes in the network. In the present paper, we propose a distributed version of Fischer's sequential algorithm with time complexity O@Dn^2^+^1^/^l^n^b, requiring On^3^+^1^/^l^n^b messages and O(n) space per node, where @D is the maximum degree of an initial minimum weight spanning tree.