# Expected number of locally maximal solutions for random Boolean CSPs

3 RO - Recherche Opérationnelle
LIP6 - Laboratoire d'Informatique de Paris 6
Abstract : For a large number of random Boolean constraint satisfaction problems, such as random $k$-SAT, we study how the number of locally maximal solutions evolves when constraints are added. We give the exponential order of the expected number of these distinguished solutions and prove it depends on the sensitivity of the allowed constraint functions only. As a by-product we provide a general tool for computing an upper bound of the satisfiability threshold for any problem of a large class of random Boolean CSPs.
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Communication dans un congrès
Jacquet, Philippe. 2007 Conference on Analysis of Algorithms, AofA 07, Jun 2007, Juan les Pins, France. Discrete Mathematics and Theoretical Computer Science, DMTCS Proceedings vol. AH, 2007 Conference on Analysis of Algorithms (AofA 07), pp.109-122, 2007, DMTCS Proceedings
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Littérature citée [20 références]

https://hal.inria.fr/hal-01184787
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Soumis le : lundi 17 août 2015 - 16:59:44
Dernière modification le : mercredi 21 mars 2018 - 18:58:11
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• HAL Id : hal-01184787, version 1

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Nadia Creignou, Hervé Daudé, Olivier Dubois. Expected number of locally maximal solutions for random Boolean CSPs. Jacquet, Philippe. 2007 Conference on Analysis of Algorithms, AofA 07, Jun 2007, Juan les Pins, France. Discrete Mathematics and Theoretical Computer Science, DMTCS Proceedings vol. AH, 2007 Conference on Analysis of Algorithms (AofA 07), pp.109-122, 2007, DMTCS Proceedings. 〈hal-01184787〉

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