Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/4316
Title: | A generalization of the Hoffman-Lovász upper bound on the independence number of a regular graph |
Author: | Luz, C. J. Cardoso, Domingos M. |
Keywords: | Combinatorial optimization Graph theory Maximum independent set Quadratic programming |
Issue Date: | 1998 |
Publisher: | Springer Verlag |
Abstract: | A family of quadratic programming problems whose optimal values are upper bounds on the independence number of a graph is introduced. Among this family, the quadratic programming problem which gives the best upper bound is identified. Also the proof that the upper bound introduced by Hoffman and Lovász for regular graphs is a particular case of this family is given. In addition, some new results characterizing the class of graphs for which the independence number attains the optimal value of the above best upper bound are given. Finally a polynomial-time algorithm for approximating the size of the maximum independent set of an arbitrary graph is described and the computational experiments carried out on 36 DIMACS clique benchmark instances are reported. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/4316 |
ISSN: | 0254-5330 |
Publisher Version: | http://www.springerlink.com/content/q77h145367453152/ |
Appears in Collections: | DMat - Artigos |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
AnnalsOR-LuzCardoso98.pdf | Electronic Version | 120.48 kB | Adobe PDF |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.