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题名: Ground-state entropy of the random vertex-cover problem
作者: Zhou, Jie ;  Zhou, Haijun
刊名: PHYSICAL REVIEW E
出版日期: 2009
卷号: 79, 期号:2, 页码:-
学科分类: Physics
通讯作者: Zhou, J , Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China
部门归属: [Zhou, J; Zhou, HJ] Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China
英文摘要: Counting the number of ground states for a spin-glass or nondeterministic polynomial-complete combinatorial optimization problem is even more difficult than the already hard task of finding a single ground state. In this paper the entropy of minimum vertex covers of random graphs is estimated through a set of iterative equations based on the cavity method of statistical mechanics. During the iteration both the cavity entropy contributions and cavity magnetizations for each vertex are updated. This approach overcomes the difficulty of iterative divergence encountered in the zero-temperature first-step replica-symmetry-breaking (1RSB) spin-glass theory. It is still applicable when the 1RSB mean-field theory is no longer stable. The method can be extended to compute the entropies of ground states and metastable minimal-energy states for other random-graph spin-glass systems.
资助者: NSFC[10774150]
收录类别: SCI
原文出处: 查看原文
WOS记录号: WOS:000263807300003
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/5394
Appears in Collections:理论物理所1978-2010年知识产出_期刊论文

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Recommended Citation:
Zhou, Jie,Zhou, Haijun. Ground-state entropy of the random vertex-cover problem[J]. PHYSICAL REVIEW E,2009,79(2):-.
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