| Paper Abstract and Keywords |
| Presentation |
2006-03-23 14:30
Recognition of Tree-Shellable Boolean Functions with several Restrictions
Nao Katougi, Yasuhiko Takenaga, Takashi Ishibashi (UEC) |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (in English) |
A tree-shellable function is a positive Boolean function which can be represented by a binary decision tree whose number of paths from the root to a leaf labeled 1 equals the number of prime implicants.
In this paper, we show that it is NP-complete to check the ordered tree-shellability even if the maximum number of literals in a term is 4. We also consider the property of tree-shellable funcitons when the number of the same literal in the DNF is restricted. |
| Keyword |
(in Japanese) |
(See Japanese page) |
| (in English) |
tree-shellability / Boolean function / binary decision tree / prime implicant / / / / |
| Reference Info. |
IEICE Tech. Rep., vol. 105, no. 680, COMP2005-67, pp. 31-37, March 2006. |
| Paper # |
COMP2005-67 |
| Date of Issue |
2006-03-16 (COMP) |
| ISSN |
Print edition: ISSN 0913-5685 |
| Download PDF |
|
| Conference Information |
| Committee |
COMP |
| Conference Date |
2006-03-22 - 2006-03-23 |
| Place (in Japanese) |
(See Japanese page) |
| Place (in English) |
The University of Electro-Communications |
| Topics (in Japanese) |
(See Japanese page) |
| Topics (in English) |
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| Paper Information |
| Registration To |
COMP |
| Conference Code |
2006-03-COMP |
| Language |
Japanese |
| Title (in Japanese) |
(See Japanese page) |
| Sub Title (in Japanese) |
(See Japanese page) |
| Title (in English) |
Recognition of Tree-Shellable Boolean Functions with several Restrictions |
| Sub Title (in English) |
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| Keyword(1) |
tree-shellability |
| Keyword(2) |
Boolean function |
| Keyword(3) |
binary decision tree |
| Keyword(4) |
prime implicant |
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| 1st Author's Name |
Nao Katougi |
| 1st Author's Affiliation |
The University of Electro-Communications (UEC) |
| 2nd Author's Name |
Yasuhiko Takenaga |
| 2nd Author's Affiliation |
The University of Electro-Communications (UEC) |
| 3rd Author's Name |
Takashi Ishibashi |
| 3rd Author's Affiliation |
The University of Electro-Communications (UEC) |
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| Speaker |
Author-1 |
| Date Time |
2006-03-23 14:30:00 |
| Presentation Time |
35 minutes |
| Registration for |
COMP |
| Paper # |
COMP2005-67 |
| Volume (vol) |
vol.105 |
| Number (no) |
no.680 |
| Page |
pp.31-37 |
| #Pages |
7 |
| Date of Issue |
2006-03-16 (COMP) |