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

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Abstract(s)

A (k,tau)- regular set in a graph is a subset of vertices inducing a tau-regular subgraph and such that each vertex not in the set has exactly tau 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.

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

Citation

Pacheco, Maris F.; Cardoso, Domingos; Luz, Carlos (2014). Determination of (0,2)-regular sets in graphs and applications. In 3rd International Conference on Dynamics, Game and Science. Porto, Portugal

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