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![]() |
刊名 | PHYSICAL REVIEW LETTERS
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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 |
URL标识 | 查看原文 |
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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