Solving the minimum M-dominating set problem by a continuous optimization approach based on DC programming and DCA

被引：0

作者：

Julien Schleich

Hoai An Le Thi

Pascal Bouvry

机构：

[1] University of Luxembourg,SnT Interdisciplinary Center

[2] University Paul Verlaine—Metz,LITA

[3] University of Luxembourg,FSTC–CSC

来源：

Journal of Combinatorial Optimization | 2012年 / 24卷

关键词：

DC programming and DCA; Exact penalty; Minimum dominating set;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We propose a new optimization approach based on DC (Difference of Convex functions) programming and DCA (DC Algorithm) to the so-called Minimum M-Dominating Set problem in graphs. This problem is beforehand re-casted as a polyhedral DC program with the help of exact penalty in DC programming. The related DCA is original and computer efficient because it consists of solving a few linear programs and converges after a finite number of iterations to an integer solution while working in a continuous domain. Numerical simulations show the efficiency and robustness of DCA and its superiority with respect to standard methods.

引用

页码：397 / 412

页数：15

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