Publication . Cardoso, Domingos M.; Luz, Carlos J.; Pacheco, Maria F.
In this paper, relevant results about the determination of ( κ , τ )- regular
sets, using the main eigenvalues of a graph, are reviewed and some results about the
determination of (0,2)-regular sets are introduced. An algorithm for that purpose is
also described. As an illustration, this algorithm is applied to the determination of
maximum matchings in arbitrary graphs.
