Exact Methods for the Vertex Bisection Problem

  • Héctor Fraire
  • J. David Terán-Villanueva
  • Norberto Castillo García
  • Juan Javier Gonzalez Barbosa
  • Eduardo Rodríguez del Angel
  • Yazmín Gómez Rojas
Chapter
Part of the Studies in Computational Intelligence book series (SCI, volume 547)

Abstract

In this chapter we approach the vertex bisection problem (VB), which is relevant in the context of communication networks. A literature review shows that the reported exact methods are restricted to solve particular graph cases. As a first step to solve the problem for general graphs using soft computing techniques, we propose two new integer-linear programming models and a new branch and bound algorithm (B&B). For the first time, the optimal solutions for an extensive set of standard instances were obtained.

Notes

Acknowledgments

The authors thank Consejo Nacional de Ciencia y Tecnología (CONACYT), Dirección General de Educación Superior Tecnológica (DGEST) and Instituto Tecnológico de Ciudad Madero (ITCM) for their financial support to this project. Also we thank to IBM Academic Initiative for the software support (CPLEX 12.5).

References

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Héctor Fraire
    • 1
  • J. David Terán-Villanueva
    • 1
  • Norberto Castillo García
    • 1
  • Juan Javier Gonzalez Barbosa
    • 1
  • Eduardo Rodríguez del Angel
    • 1
  • Yazmín Gómez Rojas
    • 1
  1. 1.Instituto Tecnológico de Ciudad MaderoCiudad MaderoMexico

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