Abstract
Number partitioning is an -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.
- Received 6 July 1998
DOI:https://doi.org/10.1103/PhysRevLett.81.4281
©1998 American Physical Society