Least Upper Bounds on OBDD Sizes

  • Authors:
  • M. A. Heap;M. R. Mercer

  • Affiliations:
  • -;-

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 1994

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Abstract

This paper derives exact equations for the maximum number of nonterminal vertexes in reduced and quasi-reduced ordered binary decision diagrams (OBDD's). A reduced OBDD is reduced by both merging and deleting vertices, and a quasi-reduced OBDD is reduced only by merging. These formulas are used to tighten Lee's original bounds, and to correct the bounds recently reported by H.T. Liaw and C.S. Lin (1992).