Title
A Lagrangian Relaxation for the Maximum Stable Set Problem
Abstract
We propose a new integer programming formulation for the problem of finding a maximum stable set of a graph based on representatives of stable sets. In addition, we investigate exact solutions provided by a Lagrangian decomposition of this formulation in which only one constraint is relaxed. Some computational experiments were carried out with an effective multi-threaded implementation of our algorithm in a multi-core system, and their results are presented.
Year
Venue
Keywords
2009
Computing Research Repository
stable set,data structure,lagrangian relaxation,discrete mathematics,exact solution,computer experiment
Field
DocType
Volume
Stable set problem,Graph,Discrete mathematics,Combinatorics,Integer programming,Independent set,Lagrangian decomposition,Lagrangian relaxation,Mathematics
Journal
abs/0903.1407
Citations 
PageRank 
References 
2
0.40
16
Authors
2
Name
Order
Citations
PageRank
Manoel B. Campêlo115119.59
Ricardo C. Corrêa220718.74