The complexity of the optimal variable ordering problems of shared binary decision diagrams

  • Seiichiro Tani
  • Kiyoharu Hamaguchi
  • Shuzo Yajima
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 762)


A binary decision diagram (BDD) is a directed acyclic graph for representing a Boolean function. BDD's are widely used in various areas which require Boolean function manipulation, since BDD's can represent efficiently many of practical Boolean functions and have other desirable properties. However the complexity of constructing BDD's has hardly been researched theoretically. In this paper, we prove that the optimal variable ordering problem of shared BDD's is NP-complete, and touch on the hardness of this problem and related problems of BDD's.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • Seiichiro Tani
    • 1
  • Kiyoharu Hamaguchi
    • 2
  • Shuzo Yajima
    • 2
  1. 1.Department of Informaiton Science, Faculty of ScienceThe University of TokyoTokyoJapan
  2. 2.Department of Information Science, Faculty of EngineeringKyoto UniversityKyotoJapan

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