Spectral bounds for the independence number of graphs and even uniform hypergraphs
Abstract
In this paper, we give spectral upper bounds for the independence number of even uniform hypergraphs and graphs, extend the Hoffman bound to even uniform hypergraphs, and give a simple spectral condition for determining the independence number, the Shannon capacity and the Lov\'asz number of a graph. The Hoffman bound on the Lov\'asz number is also extended from regular graphs to general graphs.
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