An Approximation Algorithm for Complete Partitions of Regular Graphs
نویسنده
چکیده
A complete partition of a graph is a partition of the vertex set such that any two classes are connected by an edge. We consider the problem of finding a complete partition maximizing the number of classes. This relates to clustering into the greatest number of groups so as to minimize the diameter (inter-cluster connectivity) without concern for the intra-cluster topology. We give a randomized algorithm that approximates the complete partitioning number within a factor of O( √ log n) on regular graphs.
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