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.