Minimum Bisection Is NP-hard on Unit Disk Graphs

  • Josep Díaz
  • George B. Mertzios
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8635)


In this paper we prove that the Min-Bisection problem is NP-hard on unit disk graphs, thus solving a longstanding open question.


Minimum bisection problem unit disk graphs planar graphs NP-hardness 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Josep Díaz
    • 1
  • George B. Mertzios
    • 2
  1. 1.Departament de Llenguatges i Sistemes InformáticsUniversitat Politécnica de CatalunyaSpain
  2. 2.School of Engineering and Computing SciencesDurham UniversityUK

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