A physicist's approach to number partitioning

@article{Mertens2001APA,
  title={A physicist's approach to number partitioning},
  author={Stephan Mertens},
  journal={Theor. Comput. Sci.},
  year={2001},
  volume={265},
  pages={79-108}
}
The statistical physics approach to the number partioning problem, a classical NPhard problem, is both simple and rewarding. Very basic notions and methods from statistical mechanics are enough to obtain analytical results for the phase boundary that separates the \easy-to-solve" from the \hard-to-solve" phase of the NPP as well as for the probability distributions of the optimal and sub-optimal solutions. In addition, it can be shown that solving a number partioning problem of size N to some… CONTINUE READING

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