Determination of (0,2)-regular sets in graphs and applications

In this paper, relevant results about the determination of (k,t)-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 app...

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Detalhes bibliográficos
Autor principal: Cardoso, Domingos M. (author)
Outros Autores: Luz, C. J. (author), Pacheco, Maria de Fátima (author)
Formato: bookPart
Idioma:eng
Publicado em: 2016
Assuntos:
Texto completo:http://hdl.handle.net/10773/15191
País:Portugal
Oai:oai:ria.ua.pt:10773/15191
Descrição
Resumo:In this paper, relevant results about the determination of (k,t)-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.