Pacheco, Maria F.Cardoso, Domingos M.Luz, Carlos J.2014-10-092014-10-092013Pacheco, Maria F.; Cardoso, Domingos Moreira; Luz, Carlos J. (2013). Determination of (0,2)-regular sets in graphs and applications. In MPE - DGS 2013 - Mathematics of Planet Earth - International Conference Planet Earth, Dynamics, Games and Science. Fundação Calouste Gulbenkian, Lisboa, Portugalhttp://hdl.handle.net/10198/10762A (k,τ)-regular set in a graph is a subset of vertices inducing a k-regular subgraph and such that each vertex not in the set has exactly τ neighbours in it. We will present a new algorithm for the determination of (0,2)-regular sets as well as its application to the determination of maximum matchings in arbitrary graphs.porMaximum matchingMain eigenvalues(0,2)-Regular setsconference object