Contents

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The Complexity of Clustering in Planar Graphs

J. Mark Keil1, Timothy B. Brecht1
1Department of Computational Science University of Saskatchewan Saskatoon, Canada S7N OWO

Abstract

An h-cluster in a graph is a set of h vertices which maximizes the number of edges in the graph induced by these vertices. We show that the connected h-cluster problem is NP-complete on planar graphs.