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

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Abstract(s)

A (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.

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Maximum matching Main eigenvalues (0,2)-Regular sets

Citation

Pacheco, 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, Portugal

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