Eigenvalue bounds for independent sets

نویسندگان

  • Chris D. Godsil
  • M. W. Newman
چکیده

We derive bounds on the size of an independent set based on eigenvalues. This generalizes a result due to Delsarte and Hoffman. We use this to obtain new bounds on the independence number of the Erdős-Rényi graphs. We investigate further properties of our bounds, and show how our results on the Erdős-Rényi graphs can be extended to other polarity graphs.

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عنوان ژورنال:
  • J. Comb. Theory, Ser. B

دوره 98  شماره 

صفحات  -

تاریخ انتشار 2008