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题名:
dichotomy for holant* problems of boolean domain
作者: Cai Jin-Yi ; Lu Pinyan ; Xia Mingji
会议文集: Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms
会议名称: 22nd Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2011
会议日期: 23-Jan
出版日期: 2011
会议地点: San Francisco, CA, United states
关键词: Algorithms ; Polynomial approximation ; Theorem proving
出版地: United States
收录类别: EI
ISBN: 9780898719932
部门归属: (1) University of Wisconsin-Madison, United States; (2) Microsoft Research Asia, China; (3) Institute of Software, Chinese Academy of Sciences, China
主办者: ACM Spec. Interest Group. Algorithms Comput. Theory (SIGACT); SIAM Activity Group on Discrete Mathematics
英文摘要: Holant problems are a general framework to study counting problems. Both counting Constraint Satisfaction Problems (#CSP) and graph homomorphisms are special cases. We prove a complexity dichotomy theorem for Holant* (F), where F is a set of constraint functions on Boolean variables and output complex values. The constraint functions need not be symmetric functions. We identify four classes of problems which are polynomial time computable; all other problems are proved to be #P-hard. The main proof technique arid indeed the formulation of the theorem use holographic algorithms and reductions. By considering these counting problems over the complex domain, we discover surprising new tractable classes, which are associated with isotropic vectors, i.e., a (lion-zero) vector whose inner product with itself is zero.
内容类型: 会议论文
URI标识: http://ir.iscas.ac.cn/handle/311060/14323
Appears in Collections:计算机科学国家重点实验室 _会议论文

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Recommended Citation:
Cai Jin-Yi,Lu Pinyan,Xia Mingji. dichotomy for holant* problems of boolean domain[C]. 见:22nd Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2011. San Francisco, CA, United states. 23-Jan.
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