The Nonapproximability of OBDD Minimization

نویسنده

  • Detlef Sieling
چکیده

Abstract The size of Ordered Binary Decision Diagrams (OBDDs) is determined by the chosen variable ordering. A poor choice may cause an OBDD to be too large to fit into the available memory. The decision variant of the variable ordering problem is known to be NP -complete. We strengthen this result by showing that for each constant c > 1 there is no polynomial time approximation algorithm with the performance ratio c for the variable ordering problem unless P = NP . This result justifies, also from a theoretical point of view, to use heuristics for the variable ordering problem.

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عنوان ژورنال:
  • Inf. Comput.

دوره 172  شماره 

صفحات  -

تاریخ انتشار 2002