Landscape of solutions in constraint satisfaction problems

Details Landscape of solutions in constraint satisfaction problems Landscape of solutions in constraint satisfaction problems

2005-07-19

arxiv.org/abs/cond-mat/0507451v2

Phys. Rev. Lett. 95, 200202 (2005)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 4 figures. Replaced with published version

Scientific paper

10.1103/PhysRevLett.95.200202

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.

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