Authors: Carrizosa, Emilio
Mladenović, Nenad 
Todosijević, Raca 
Title: Sum-of-squares clustering on networks
Journal: Yugoslav Journal of Operations Research
Volume: 21
Issue: 2
First page: 157
Last page: 161
Issue Date: 1-Dec-2011
Rank: M51
ISSN: 0354-0243
DOI: 10.2298/YJOR1102157C
Abstract: 
Finding p prototypes by minimizing the sum of the squared distances from a set of points to its closest prototype is a well-studied problem in clustering, data analysis and continuous location. In this note, this very same problem is addressed assuming, for the first time, that the space of possible prototype locations is a network. We develop some interesting properties of such clustering problem. We also show that optimal cluster prototypes are not necessary located at vertices of the network.
Keywords: Clustering | Location | Networks | P-Median
Publisher: Faculty of Organizational Sciences, University of Belgrade
Project: Serbian-Spanish project AIB2010SE-00318
Ministry of Science and Innovation, Spain, Grant no. MTM2009-14039
Serbian Ministry of Sciences, Project 172010

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