| Presentation | 1993/12/15 Lower Bounds on the Size of Ordered Binary Decision Diagrams Representing Threshold Functions Kazuhisa Hosaka, Yasuhiko Takenaga, 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.It is observed that many practical Boolean functions are represented in feasible size.In this paper,the size of ordered binary decision diagrams representing threshold functions is studied.Two cases are treated: the order of variables is fixed in one case,and not fixed in the other case.We prove that a lower bound on the size of ordered binary decision diagrams representing n-variable threshold function is Ω(2.^n, 2>)in the former case,and Ω(2^(√n>)/2>)in the latter case. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | ordered binary decision diagram / threshold function / lower bound |
| Paper # | COMP93-65 |
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| Conference Information | |
| Committee | COMP |
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| Conference Date | 1993/12/15(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Theoretical Foundations of Computing (COMP) |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Lower Bounds on the Size of Ordered Binary Decision Diagrams Representing Threshold Functions |
| Sub Title (in English) | |
| Keyword(1) | ordered binary decision diagram |
| Keyword(2) | threshold function |
| Keyword(3) | lower bound |
| 1st Author's Name | Kazuhisa Hosaka |
| 1st Author's Affiliation | Department of Information Science,Faculty of Engineering,Kyoto University() |
| 2nd Author's Name | Yasuhiko Takenaga |
| 2nd Author's Affiliation | Department of Information Science,Faculty of Engineering,Kyoto University |
| 3rd Author's Name | Shuzo Yajima |
| 3rd Author's Affiliation | Department of Information Science,Faculty of Engineering,Kyoto University |
| Date | 1993/12/15 |
| Paper # | COMP93-65 |
| Volume (vol) | vol.93 |
| Number (no) | 379 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |