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Parallel strategic oscillation: an application to the maximum leaf spanning tree problem

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Abstract

The maximum leaf spanning tree problem consists in finding a spanning tree of a graph that maximizes the number of leaves that the tree has. This problem has been found to be \(\mathcal {NP}\)-hard for general graphs. It has several relevant applications in the context of telecommunication networks. In this paper, we tackle this problem by proposing the use of a parallel algorithm based on the strategic oscillation methodology. In particular, we propose two different parallel approaches and we compare our best variant with previous algorithms of the state of the art. The proposed approach outperforms previous ones in the state of the art, which is also confirmed by the use of statistical tests.

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Notes

  1. http://math.nist.gov/MatrixMarket/data/Harwell-Boeing/.

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Acknowledgments

This research has been partially supported by the Spanish “Ministerio de Economía y Competitividad”, and by “Comunidad de Madrid” with Grants Refs. TIN2012-35632-C02 and S2013/ICE-2894, respectively.

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Authors and Affiliations

  1. Dpto. Informática y Estadística, Universidad Rey Juan Carlos, Madrid, Spain

    Jesús Sánchez-Oro, Borja Menéndez & Abraham Duarte

  2. Dpto. Sistemas Informáticos, Universidad Politécnica de Madrid, Madrid, Spain

    Eduardo G. Pardo

Authors
  1. Jesús Sánchez-Oro
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  2. Borja Menéndez
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  3. Eduardo G. Pardo
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  4. Abraham Duarte
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Corresponding author

Correspondence to Abraham Duarte.

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Sánchez-Oro, J., Menéndez, B., Pardo, E.G. et al. Parallel strategic oscillation: an application to the maximum leaf spanning tree problem. Prog Artif Intell 5, 121–128 (2016). https://doi.org/10.1007/s13748-015-0076-7

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  • DOI: https://doi.org/10.1007/s13748-015-0076-7

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