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
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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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