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Laplacian spectral bounds for clique and independence numbers of graphs. (English) Zbl 1122.05072
Summary: We present lower and upper bounds for the independence number $$\alpha (G)$$ and the clique number $$\omega (G)$$ involving the Laplacian eigenvalues of the graph $$G$$.

##### MSC:
 05C69 Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) 05C50 Graphs and linear algebra (matrices, eigenvalues, etc.)
##### Keywords:
clique number; independence number; Laplacian spectrum
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##### References:
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