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

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Abstract

We study the problem of finding a spanning tree with maximum number of leaves. We present a simple, linear time 2-approximation algorithm for this problem, improving on the previous best known algorithm for the problem, which has approximation ratio 3.

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Author information

Authors and Affiliations

  1. Department of Computer Science, The University of Western Ontario, London, ON, N6A 5B7, Canada

    Roberto Solis-Oba

  2. Faculty of EEMCS, University of Twente, PO Box 217, 7500 AE, Enschede, The Netherlands

    Paul Bonsma

  3. Mathematics Department, Humboldt University Berlin, Unter den Linden 6, 10099, Berlin, Germany

    Stefanie Lowski

Authors
  1. Roberto Solis-Oba
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  2. Paul Bonsma
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  3. Stefanie Lowski
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Corresponding author

Correspondence to Roberto Solis-Oba.

Additional information

An extended abstract of this paper appeared in the proceedings of ESA 1998 [32].

Roberto Solis-Oba: Research of this author partially supported by Grant 227829-2009 from the Natural Sciences and Engineering Research Council of Canada.

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Solis-Oba, R., Bonsma, P. & Lowski, S. A 2-Approximation Algorithm for Finding a Spanning Tree with Maximum Number of Leaves. Algorithmica 77, 374–388 (2017). https://doi.org/10.1007/s00453-015-0080-0

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