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 pseudopolynomiality of number partitioning. The phase diagram and the value of the typical ground-state energy are calculated.
Physical Review Letters
- Pub Date:
- November 1998
- Condensed Matter;
- Nonlinear Sciences - Adaptation and Self-Organizing Systems
- minor changes (references, typos and discussion of results)