Divide and concur: a general approach to constraint satisfaction.

  title={Divide and concur: a general approach to constraint satisfaction.},
  author={Simon Gravel and Veit Elser},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={78 3 Pt 2},
Many difficult computational problems involve the simultaneous satisfaction of multiple constraints that are individually easy to satisfy. These constraints might be derived from measurements (as in tomography or diffractive imaging), interparticle interactions (as in spin glasses), or a combination of sources (as in protein folding). We present a simple geometric framework to express and solve such problems and apply it to two benchmarks. In the first application (3SAT, a Boolean satisfaction… CONTINUE READING

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and I

  • P. Szabó, M. Markót, T. Csendes, E. Specht, L. Casado
  • Garcãa, New Approaches to Circle Packing in a…
  • 2007
Highly Influential
4 Excerpts

Theory 127

  • H. Bauschke, P. Combettes, D. Luke, J. Approx
  • 178
  • 2004
Highly Influential
4 Excerpts

Sphere Packings

  • J. Conway, N. Sloane
  • Lattices and Groups
  • 1999
Highly Influential
5 Excerpts

Pnas 104

  • V. Elser, I. Rankenburg, P. Thibault
  • 418
  • 2007
2 Excerpts


  • V. Elser, I. Rankenburg
  • Rev. E 73, 26702
  • 2006
2 Excerpts

Introduction to Circle Packing (Cambridge

  • K. Stephenson
  • 2005
2 Excerpts


  • V. Elser, J. Opt
  • Am. 20, 40
  • 2003
2 Excerpts

Constructing Spherical Codes by Global Optimization Methods (Helsinki

  • K. Nurmela
  • University of Technology,
  • 1995
2 Excerpts

Proceedings of the 12th IJCAI pp

  • P. Cheeseman, B. Kanefsky, W. Taylor
  • 331–337
  • 1991
2 Excerpts

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