Phase transition in the assignment problem for random matrices

J. G. Esteve; F. Falceto

doi:10.1209/epl/i2005-10296-6

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Phase transition in the assignment problem for random matrices

J. G. Esteve·F. Falceto

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Abstract

We report an analytic and numerical study of a phase transition in a P problem (the assignment problem) that separates two phases whose representatives are the simple matching problem (an easy P problem) and the traveling salesman problem (a NP-complete problem). Like other phase transitions found in combinatoric problems (K-satisfiability, number partitioning) this can help to understand the nature of the difficulties in solving NP problems an to find more accurate algorithms for them.

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BibTeX RIS

J. G. Esteve, F. Falceto. 2005-11-30. Phase transition in the assignment problem for random matrices. https://doi.org/10.1209/epl%2Fi2005-10296-6

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