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

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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.

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(0,2)-Regular sets Main eigenvalues Walk matrix

Citation

Pacheco, 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 978-3-319-20327-0

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