Landscape of Solutions in Constraint Satisfaction Problems

We present a theoretical framework for characterizing the geometrical properties of the space of solutions in constraint satisfaction problems, together with practical algorithms for studying this structure on particular instances. We apply our method to the coloring problem, for which we obtain the...

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Detalhes bibliográficos
Autores: Mézard, Marc, Palassini, Matteo, Rivoire, Olivier
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2005
País:España
Recursos:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/139831
Acesso em linha:https://hdl.handle.net/2445/139831
Access Level:acceso abierto
Palavra-chave:Geometria de l'espai
Algorismes
Solid geometry
Algorithms
Descrição
Resumo:We present a theoretical framework for characterizing the geometrical properties of the space of solutions in constraint satisfaction problems, together with practical algorithms for studying this structure on particular instances. We apply our method to the coloring problem, for which we obtain the total number of solutions and analyze in detail the distribution of distances between solutions.