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|Title: ||Recognition of graphs with convex quadratic stability number|
|Authors: ||Pacheco, Maria F.|
Cardoso, Domingos M.
|Keywords: ||Graph theory|
|Issue Date: ||2009|
|Publisher: ||American Institute of Physics|
|Citation: ||Pacheco, Maria F.; Cardoso, Domingos M. (2009) - Recognition of graphs with convex quadratic stability number. In AIP Conference Proceedings - International Conference on Numerical Analysis and Applied Mathematics. p.1366-1369. ISBN 978-0-7354-0709.|
|Abstract: ||A stable set of a graph is a set of mutually non-adjacent vertices. The determination of a maximum size stable set, which is called maximum stable set, and the determination of its size, which is called stability number, are central combinatorial optimization problems. However, given a nonnegative integer k, to determine if a graph G has a stable set of size k is NP-complete. In this paper we deal with graphs for which the stability number can be determined by solving a convex quadratic programming problem. Such graphs were introduced in  and are called graphs with convex-QP stability number. A few algorithmic techniques for the recognition of this type of graphs in particular families are presented.|
|Publisher version: ||http://scitation.aip.org/getpdf/servlet/GetPDFServlet?filetype=pdf&id=APCPCS001168000001001366000001&idtype=cvips|
|Appears in Collections:||DEMAT - Publicações em Proceedings Indexadas ao ISI|
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