中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
Rivest-Vuillemin conjecture is true for monotone Boolean functions with twelve variables

文献类型:期刊论文

作者Gao, SX; Du, DZ; Hun, XD; Jia, XH
刊名DISCRETE MATHEMATICS
出版日期2002-06-06
卷号253期号:1-3页码:19-34
关键词monotone Boolean function decision tree elusive
ISSN号0012-365X
英文摘要A Boolean function f (x(1), x(2),...,x(n)) is elusive if every decision tree computing f must examine all n variables in the worst case. It is a long-standing conjecture that every nontrivial monotone weakly symmetric Boolean function is elusive. In this paper, we prove this conjecture for Boolean functions with twelve variables. (C) 2002 Elsevier Science B.V. All lights reserved.
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000176323900004
出版者ELSEVIER SCIENCE BV
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/17192]  
专题中国科学院数学与系统科学研究院
通讯作者Du, DZ
作者单位1.Univ Minnesota, Dept Comp Sci & Engn, Minneapolis, MN 55455 USA
2.Univ Sci & Technol China, Grad Sch Beijing, Dept Math, Beijing 100039, Peoples R China
3.City Univ Hong Kong, Dept Comp Sci, Kowloon Tong, Hong Kong, Peoples R China
4.Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式
GB/T 7714
Gao, SX,Du, DZ,Hun, XD,et al. Rivest-Vuillemin conjecture is true for monotone Boolean functions with twelve variables[J]. DISCRETE MATHEMATICS,2002,253(1-3):19-34.
APA Gao, SX,Du, DZ,Hun, XD,&Jia, XH.(2002).Rivest-Vuillemin conjecture is true for monotone Boolean functions with twelve variables.DISCRETE MATHEMATICS,253(1-3),19-34.
MLA Gao, SX,et al."Rivest-Vuillemin conjecture is true for monotone Boolean functions with twelve variables".DISCRETE MATHEMATICS 253.1-3(2002):19-34.

入库方式: OAI收割

来源:数学与系统科学研究院

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