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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Bibliographic Details
Main Author: Cardoso, Domingos M. (author)
Other Authors: Luz, C. J. (author), Pacheco, Maria de Fátima (author)
Format: bookPart
Language:eng
Published: 2016
Subjects:
Online Access:http://hdl.handle.net/10773/15191
Country:Portugal
Oai:oai:ria.ua.pt:10773/15191
Description
Summary: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.