| Presentation | 2006-03-23 Recognition of Tree-Shellable Boolean Functions with Several Restrictions Nao KATOUGI, Yasuhiko TAKENAGA, Takashi ISHIBASHI, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(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) |
| Keyword(in English) | tree-shellability / Boolean function / binary decision tree / prime implicant |
| Paper # | COMP2005-67 |
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| Conference Information | |
| Committee | COMP |
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| Conference Date | 2006/3/16(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 | JPN |
| 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) | |
| Keyword(1) | tree-shellability |
| Keyword(2) | Boolean function |
| Keyword(3) | binary decision tree |
| Keyword(4) | prime implicant |
| 1st Author's Name | Nao KATOUGI |
| 1st Author's Affiliation | Department of Computer Science, Graduate School of Electro-Communications, The University of Electro-Communications() |
| 2nd Author's Name | Yasuhiko TAKENAGA |
| 2nd Author's Affiliation | Department of Computer Science, Faculty of Electro-Communications, The University of Electro-Communications |
| 3rd Author's Name | Takashi ISHIBASHI |
| 3rd Author's Affiliation | Department of Computer Science, Faculty of Electro-Communications, The University of Electro-Communications |
| Date | 2006-03-23 |
| Paper # | COMP2005-67 |
| Volume (vol) | vol.105 |
| Number (no) | 680 |
| Page | pp.pp.- |
| #Pages | 7 |
| Date of Issue | |