Least upper bounds on OBDD sizes

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...

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Veröffentlicht in:IEEE transactions on computers 1994-06, Vol.43 (6), p.764-767
Hauptverfasser: Heap, M.A., Mercer, M.R.
Format: Artikel
Sprache:eng
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Zusammenfassung: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).< >
ISSN:0018-9340
1557-9956
DOI:10.1109/12.286311