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Beyond Unfeasibility: Strategic Oscillation for the Maximum Leaf Spanning Tree Problem

  • Jesús Sánchez-Oro
  • Abraham Duarte
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9422)

Abstract

Given an undirected and connected graph, the maximum leaf spanning tree problem consists in finding a spanning tree with as many leaves as possible. This \(\mathcal {NP}\)-hard problem has practical applications in telecommunication networks, circuit layouts, and other graph-theoretic problems. An interesting application appears in the context of broadcasting in telecommunication networks, where it is interesting to reduce the number of broadcasting computers in the network. These components are relatively expensive and therefore its is desirable to deploy as few of them as possible in the network. This optimization problem is equivalent to maximize the number of non-broadcasting computers. We present a strategic oscillation approach for solving the maximum leaf spanning tree problem. The results obtained by the proposed algorithm are compared with the best previous algorithm found in the literature, showing the superiority of our proposal.

Keywords

Telecommunication networks Broadcasting Spanning tree Strategic oscillation 

Notes

Acknowledgments

This research was partially supported by the Ministerio de Economía y Competitividad of Spain (Project Number TIN2012-35632-C02) and the Comunidad de Madrid (Project Number S2013/ICE-2894).

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Universidad Rey Juan CarlosMadridSpain

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