Cardoso, Domingos M.Luz, Carlos J.Pacheco, Maria F.2018-04-272018-04-272015Pacheco, Maria F.; Cardoso, D.M.; Luz, Carlos J. (2015). Determination of (0,2)-regular sets in graphs and applications. In XVI Congress of APDIO. Bragança. p. 107-121. ISBN 978-3-319-20327-0978-3-319-20327-0http://hdl.handle.net/10198/17376In 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.eng(0,2)-Regular setsMain eigenvaluesWalk matrixconference object10.1007/978-3-319-20328-7