A Greedy Algorithm for Hierarchical Complete Linkage Clustering

  • Ernst Althaus
  • Andreas Hildebrandt
  • Anna Katharina Hildebrandt
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8542)


We are interested in the greedy method to compute an hierarchical complete linkage clustering. There are two known methods for this problem, one having a running time of \({\mathcal O}(n^3)\) with a space requirement of \({\mathcal O}(n)\) and one having a running time of \({\mathcal O}(n^2 \log n)\) with a space requirement of Θ(n 2), where n is the number of points to be clustered. Both methods are not capable to handle large point sets. In this paper, we give an algorithm with a space requirement of \({\mathcal O}(n)\) which is able to cluster one million points in a day on current commodity hardware.


bioinformatics algorithm-engineering clustering unsupervised machine learning 


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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Ernst Althaus
    • 1
  • Andreas Hildebrandt
    • 1
  • Anna Katharina Hildebrandt
    • 2
  1. 1.Institut für InformatikJohannes Gutenberg-UniversitätMainzGermany
  2. 2.Max-Planck Institute for InformaticsSaarbrückenGermany

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