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Long-range frustration in a spin-glass model of the vertex-cover problem
Zhou, HJ; Zhou, HJ , Max Planck Inst Colloids & Interfaces, D-14424 Potsdam, Germany.
2005
发表期刊PHYSICAL REVIEW LETTERS
ISSN0031-9007
卷号94期号:21页码:-
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.
部门归属Max Planck Inst Colloids & Interfaces, D-14424 Potsdam, Germany; Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China
关键词Mean-field Theory Random Graphs Cavity Method Number
学科领域Physics
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收录类别SCI
WOS记录号WOS:000229543900040
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被引频次:30[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/13801
专题理论物理所1978-2010年知识产出
通讯作者Zhou, HJ , Max Planck Inst Colloids & Interfaces, D-14424 Potsdam, Germany.
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GB/T 7714
Zhou, HJ,Zhou, HJ , Max Planck Inst Colloids & Interfaces, D-14424 Potsdam, Germany.. Long-range frustration in a spin-glass model of the vertex-cover problem[J]. PHYSICAL REVIEW LETTERS,2005,94(21):-.
APA Zhou, HJ,&Zhou, HJ , Max Planck Inst Colloids & Interfaces, D-14424 Potsdam, Germany..(2005).Long-range frustration in a spin-glass model of the vertex-cover problem.PHYSICAL REVIEW LETTERS,94(21),-.
MLA Zhou, HJ,et al."Long-range frustration in a spin-glass model of the vertex-cover problem".PHYSICAL REVIEW LETTERS 94.21(2005):-.
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