Abstract - IPAM

Abstract

The easiest hard problem: phase transitions in integer partitioning

Stephan Mertens

University of Magdeburg, Germany

Integer partitioning is one of the classical NP-hard problems.
The random version of integer partitioning has a phasetransition
similar to the phasetransitions observed in other combinatorial
problems like k-SAT. In contrast to most other problems, integer
partitioning is simple enough to obtain detailled and rigorous
results on the phasetransition. In this talk we discuss the
phasediagramm of constrained integer partitioning.
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