Presentation 1996/7/25
Size and Variable Ordering of OBDDs Representing Threshold Functions
Yasuhiko TAKENAGA, Mitsushi NOUZOE, Shuzo YAJIMA,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) An ordered binary decision diagram (OBDD) is a graph representation of a Boolean function. In representing various Boolean functions using OBDDs, the larger the sizes of OBDDs are, the more difficult it is to deal with them because of the memory requirements. Therefore, it is important to investigate the size of OBDDs representing various Boolean functions. In this paper, the size of ordered binary decision diagrams representing threshold functions is discussed. We prove an Ω(n2^>) lower bound on the OBDD size. We also show that it is not possible to find a good variable ordering only from the total order of weights.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) ordered binary decision diagram / threshold function / lower bound / variable ordering
Paper # COMP96-24
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Conference Information
Committee COMP
Conference Date 1996/7/25(1days)
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Registration To Theoretical Foundations of Computing (COMP)
Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Size and Variable Ordering of OBDDs Representing Threshold Functions
Sub Title (in English)
Keyword(1) ordered binary decision diagram
Keyword(2) threshold function
Keyword(3) lower bound
Keyword(4) variable ordering
1st Author's Name Yasuhiko TAKENAGA
1st Author's Affiliation Graduate School of Engineering,Kyoto University()
2nd Author's Name Mitsushi NOUZOE
2nd Author's Affiliation Graduate School of Engineering,Kyoto University
3rd Author's Name Shuzo YAJIMA
3rd Author's Affiliation Graduate School of Engineering,Kyoto University
Date 1996/7/25
Paper # COMP96-24
Volume (vol) vol.96
Number (no) 196
Page pp.pp.-
#Pages 8
Date of Issue