Phase transition in the assignment problem for random matrices

被引：1

作者：

Esteve, JG ^{[1
]}

Falceto, F

机构：

[1] Univ Zaragoza, Dept Fis Teor, E-50009 Zaragoza, Spain

[2] Univ Zaragoza, Inst Biocomputac & Fis Sistemas Complejos, Zaragoza, Spain

来源：

EUROPHYSICS LETTERS | 2005年 / 72卷 / 05期

关键词：

D O I：

10.1209/epl/i2005-10296-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：691 / 697

页数：7

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