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Generalized Cores
V. Batagelj, M. Zaveršnik
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Cores are, besides connectivity components, one among few concepts that provides us with efficient decompositions of large graphs and networks. In the paper a generalization of the notion of core of a graph based on vertex property function is presented. It is shown that for the local monotone vertex property functions the corresponding cores can be determined in O(m max(Δ, logn)) time.
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