Threshold behaviors of a random constraint satisfaction problem with exact phase transitions

Chunyan Zhao; Zhiming Zheng

doi:10.1016/j.ipl.2011.07.006

Threshold behaviors of a random constraint satisfaction problem with exact phase transitions

Chunyan Zhao^*, Zhiming Zheng

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

We consider a random constraint satisfaction problem named model RB, which exhibits a sharp satisfiability phase-transition phenomenon when the control parameters pass through the critical values denoted by ^rcr and ^pcr. Using finite-size scaling analysis, we bound the width of the transition region for finite problem size n, which might be the first rigorous study on the threshold behaviors of NP-complete problems.

Original language	English
Pages (from-to)	985-988
Number of pages	4
Journal	Information Processing Letters
Volume	111
Issue number	20
DOIs	https://doi.org/10.1016/j.ipl.2011.07.006
State	Published - 31 Oct 2011
Externally published	Yes

Keywords

Computational complexity
Constraint satisfaction problem
Finite-size scaling
Model RB
Phase transition
Threshold behavior

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10.1016/j.ipl.2011.07.006

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title = "Threshold behaviors of a random constraint satisfaction problem with exact phase transitions",

abstract = "We consider a random constraint satisfaction problem named model RB, which exhibits a sharp satisfiability phase-transition phenomenon when the control parameters pass through the critical values denoted by rcr and pcr. Using finite-size scaling analysis, we bound the width of the transition region for finite problem size n, which might be the first rigorous study on the threshold behaviors of NP-complete problems.",

keywords = "Computational complexity, Constraint satisfaction problem, Finite-size scaling, Model RB, Phase transition, Threshold behavior",

author = "Chunyan Zhao and Zhiming Zheng",

year = "2011",

month = oct,

day = "31",

doi = "10.1016/j.ipl.2011.07.006",

language = "英语",

volume = "111",

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journal = "Information Processing Letters",

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publisher = "Elsevier B.V.",

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T1 - Threshold behaviors of a random constraint satisfaction problem with exact phase transitions

AU - Zhao, Chunyan

AU - Zheng, Zhiming

PY - 2011/10/31

Y1 - 2011/10/31

N2 - We consider a random constraint satisfaction problem named model RB, which exhibits a sharp satisfiability phase-transition phenomenon when the control parameters pass through the critical values denoted by rcr and pcr. Using finite-size scaling analysis, we bound the width of the transition region for finite problem size n, which might be the first rigorous study on the threshold behaviors of NP-complete problems.

AB - We consider a random constraint satisfaction problem named model RB, which exhibits a sharp satisfiability phase-transition phenomenon when the control parameters pass through the critical values denoted by rcr and pcr. Using finite-size scaling analysis, we bound the width of the transition region for finite problem size n, which might be the first rigorous study on the threshold behaviors of NP-complete problems.

KW - Computational complexity

KW - Constraint satisfaction problem

KW - Finite-size scaling

KW - Model RB

KW - Phase transition

KW - Threshold behavior

UR - https://www.scopus.com/pages/publications/79960850986

U2 - 10.1016/j.ipl.2011.07.006

DO - 10.1016/j.ipl.2011.07.006

M3 - 文章

AN - SCOPUS:79960850986

SN - 0020-0190

VL - 111

SP - 985

EP - 988

JO - Information Processing Letters

JF - Information Processing Letters

IS - 20

ER -

Threshold behaviors of a random constraint satisfaction problem with exact phase transitions

Abstract

Keywords

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