2-Approximation Algorithm for Finding a Spanning Tree with Maximum Number of Leaves

  • Authors:
  • Roberto Solis-Oba

  • Affiliations:
  • -

  • Venue:
  • ESA '98 Proceedings of the 6th Annual European Symposium on Algorithms
  • Year:
  • 1998

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Abstract

We study the problem of finding a spanning tree with maximum number of leaves. We present a simple 2-approximation algorithm for the problem, improving on the approximation ratio of 3 achieved by the best previous algorithms. We also study the variant in which a given set of vertices must be leaves of the spanning tree, and we present a 5/2-approximation algorithm for this version of the problem.