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Long-range frustration in a spin-glass model of the vertex-cover problem

文献类型:期刊论文

作者Zhou, HJ; Zhou, HJ , Max Planck Inst Colloids & Interfaces, D-14424 Potsdam, Germany.
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
ISSN号0031-9007
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.
学科主题Physics
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WOS记录号WOS:000229543900040
公开日期2012-08-30
源URL[http://ir.itp.ac.cn/handle/311006/13801]  
专题理论物理研究所_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.
推荐引用方式
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):-.

入库方式: OAI收割

来源:理论物理研究所

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