Partitioning networks into classes of mutually isolated nodes ?
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چکیده
Following the work of Newman, we model complex networks with random graphs of a given degree distribution. In particular we study the case where all vertices have exactly the same degree (random regular graphs). We survey some recent results on the problem of partitioning such a graph into the smallest possible number of classes of mutually isolated vertices, known in graph theory as the colorability problem. We also describe the solution of an open problem about 5-regular graphs.
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تاریخ انتشار 2005