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LION
2009
Springer

New Bounds on the Clique Number of Graphs Based on Spectral Hypergraph Theory

9 years 3 months ago
New Bounds on the Clique Number of Graphs Based on Spectral Hypergraph Theory
This work introduces new bounds on the clique number of graphs derived from a result due to S´os and Straus, which generalizes the Motzkin-Straus Theorem to a specific class of hypergraphs. In particular, we generalize and improve the spectral bounds introduced by Wilf in 1967 and 1986 establishing a interesting link between the clique number and the emerging spectral hypergraph theory field. In order to compute the bounds we face the problem of extracting the leading H-eigenpair of supersymmetric tensors, which is still uncovered in the literature. To this end, we provide two approaches to serve the purpose. Finally, we present some preliminary experimental results.
Samuel Rota Bulò, Marcello Pelillo
Added 27 May 2010
Updated 27 May 2010
Type Conference
Year 2009
Where LION
Authors Samuel Rota Bulò, Marcello Pelillo
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