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题名: Long-range frustration in a spin-glass model of the vertex-cover problem
作者: Zhou, HJ
刊名: PHYSICAL REVIEW LETTERS
出版日期: 2005
卷号: 94, 期号:21, 页码:-
关键词: MEAN-FIELD THEORY ;  RANDOM GRAPHS ;  CAVITY METHOD ;  NUMBER
学科分类: Physics
通讯作者: Zhou, HJ , Max Planck Inst Colloids & Interfaces, D-14424 Potsdam, Germany.
部门归属: Max Planck Inst Colloids & Interfaces, D-14424 Potsdam, Germany; Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China
英文摘要: In a spin-glass system on a random graph, some vertices have their spins changing among different configurations of a ground-state domain. Long-range frustrations may exist among these unfrozen vertices in the sense that certain combinations of spin values for these vertices may never appear in any configuration of this domain. We present a mean field theory to tackle such long-range frustrations and apply it to the NP-hard minimum vertex-cover (hard-core gas condensation) problem. Our analytical results on the ground-state energy density and on the fraction of frozen vertices are in good agreement with known numerical and mathematical results.
收录类别: SCI
原文出处: 查看原文
WOS记录号: WOS:000229543900040
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/13801
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, HJ. Long-range frustration in a spin-glass model of the vertex-cover problem[J]. PHYSICAL REVIEW LETTERS,2005,94(21):-.
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