Phase Transition in the Number Partitioning Problem

Details Phase Transition in the Number Partitioning Problem Phase Transition in the Number Partitioning Problem

1998-07-06

arxiv.org/abs/cond-mat/9807077v3

Phys.Rev.Lett. 81, 4281 (1998)

Physics

Condensed Matter

minor changes (references, typos and discussion of results)

Scientific paper

10.1103/PhysRevLett.81.4281

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.

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