Phase Transition in the Number Partitioning Problem
Condensed Matter
2009-10-31 v3 adap-org
Adaptation and Self-Organizing Systems
Abstract
Number partitioning is an NP-complete problem of combinatorial optimization. A statistical mechanics analysis reveals the existence of a phase transition that separates the easy from the hard to solve instances and that reflects the pseudo-polynomiality of number partitioning. The phase diagram and the value of the typical ground state energy are calculated.
Cite
@article{arxiv.cond-mat/9807077,
title = {Phase Transition in the Number Partitioning Problem},
author = {Stephan Mertens},
journal= {arXiv preprint arXiv:cond-mat/9807077},
year = {2009}
}
Comments
minor changes (references, typos and discussion of results)