Geodesic
Weighted matrix eigenvalue bounds on the independence number of a graph
The electronic journal of linear algebra, Tome 20 (2010), pp. 468-489.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Weighted generalizations of Hoffman's ratio bound on the independence number of a regular graph are surveyed. Several known bounds are reviewed as special cases of modest extensions.Comparisons are made with the Shannon capacity $\Theta $, Lovász' parameter $\vartheta $, Schrijver's parameter $\vartheta ^{\prime}$ , and the ultimate independence ratio for categorical products. The survey concludes with some observations on graphs that attain a weighted version of a bound of Cvetković.
Classification : 05C50, 05E99, 15A18
Keywords: independence number, eigenvalues, ratio bound, graph, matrix 
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     title = {Weighted matrix eigenvalue bounds on the independence number of a graph},
     journal = {The electronic journal of linear algebra},
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Elzinga, Randall J.; Gregory, David A. Weighted matrix eigenvalue bounds on the independence number of a graph. The electronic journal of linear algebra, Tome 20 (2010), pp. 468-489. http://geodesic.mathdoc.fr/item/ELA_2010__20__a19/