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Phase Transitions and Backbones of 3-SAT and Maximum 3-SAT (2001)  (Make Corrections)  (3 citations)
Weixiong Zhang
Principles and Practice of Constraint Programming



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Abstract: Many real-world problems involve constraints that cannot be all satisfied. Solving an overconstrained problem then means to find solutions minimizing the number of constraints violated, which is an optimization problem. In this research, we study the behavior of the phase transitions and backbones of constraint optimization problems. We rst investigate the relationship between the phase transitions of Boolean satisfiability, or precisely 3-SAT (a well-studied NP-complete decision problem), and... (Update)

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BibTeX entry:   (Update)

W. Zhang. Phase transitions and backbones of 3-SAT and Maximum 3-SAT. In T. Walsh, editor, Proceedings of 7th International Conference on Principles and Practice of Constraint Programming (CP2001). Springer, 2001. 280 http://citeseer.ist.psu.edu/zhang01phase.html   More

@inproceedings{ zhang01phase,
    author = "Weixiong Zhang",
    title = "Phase Transitions and Backbones of 3-{SAT} and Maximum 3-{SAT}",
    booktitle = "Principles and Practice of Constraint Programming",
    pages = "153-167",
    year = "2001",
    url = "citeseer.ist.psu.edu/zhang01phase.html" }
Citations (may not include all citations):
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473   Foundations of Constraint Satisfaction (context) - Tsang - 1993
390   A machine program for theorem proving (context) - Davis, Logemann et al. - 1962
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13   Backbones in optimization and approximation - Slaney, Walsh - 2001
13   A generic framework for constraint-directed search and sched.. (context) - Beck, Fox - 1998
13   A study of complexity transitions on the asymmetric Travelin.. (context) - Zhang, Korf - 1996
12   Frozen development in graph coloring - Culberson, Gent - 2001
9   Phase transitions and annealed theories: Number partitioning.. - Gent, Walsh - 1996
7   the hardness of decision and optimisation problems - Slaney, Thiebaux - 1998
6   State-Space Search: Algorithms (context) - Zhang - 1999
4   Probabilistic analysis of tree search - McDiarmid - 1990
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