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Paper Abstract and Keywords
Presentation 2005-05-20 13:30
Recognition of Tree-Shellable Boolean Functions with Restrictions to the Number of the Same Literal
Nao Katougi, Yasuhiko Takenaga (UEC)
Abstract (in Japanese) (See Japanese page) 
(in English) A tree-shellable function is a positive Boolean function which can be representation by a binary decision tree such that the number of prime implicants equals the number of paths from the root to a leaf labeled 1 in its binary decision tree representation. In this paper, we show that the maximum number of the same literal in a DNF is related to tree-shellability. By using the results, if the same literal appears at most constant times, tree-shellability and ordered tree-shellability can be checked in polynomial time.
Keyword (in Japanese) (See Japanese page) 
(in English) Boolean function / binary decision tree / prime implicant / tree-shellability / / / /  
Reference Info. IEICE Tech. Rep., vol. 105, no. 72, COMP2005-12, pp. 25-30, May 2005.
Paper # COMP2005-12 
Date of Issue 2005-05-13 (COMP) 
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380
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Conference Information
Committee COMP  
Conference Date 2005-05-20 - 2005-05-20 
Place (in Japanese) (See Japanese page) 
Place (in English) Kyushu Univ. 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To COMP 
Conference Code 2005-05-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 Restrictions to the Number of the Same Literal 
Sub Title (in English)  
Keyword(1) Boolean function  
Keyword(2) binary decision tree  
Keyword(3) prime implicant  
Keyword(4) tree-shellability  
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)
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Date Time 2005-05-20 13:30:00 
Presentation Time 35 
Registration for COMP 
Paper # IEICE-COMP2005-12 
Volume (vol) IEICE-105 
Number (no) no.72 
Page pp.25-30 
#Pages IEICE-6 
Date of Issue IEICE-COMP-2005-05-13 

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