On Modularity Clustering

dc.contributor.authorBrandes, Ulrik
dc.contributor.authorDelling, Danieldeu
dc.contributor.authorGaertler, Marcodeu
dc.contributor.authorGörke, Robertdeu
dc.contributor.authorHoefer, Martindeu
dc.contributor.authorNikoloski, Zorandeu
dc.contributor.authorWagner, Dorotheadeu
dc.date.accessioned2011-03-24T16:00:42Zdeu
dc.date.available2011-03-24T16:00:42Zdeu
dc.date.issued2008deu
dc.description.abstractModularity is a recently introduced quality measure for graph clusterings. It has immediately received considerable attention in several disciplines, and in particular in the complex systems literature, although its properties are not well understood. We study the problem of finding clusterings with maximum modularity, thus providing theoretical foundations for past and present work based on this measure. More precisely, we prove the conjectured hardness of maximizing modularity both in the general case and with the restriction to cuts, and give an Integer Linear Programming formulation. This is complemented by first insights into the behavior and performance of the commonly applied greedy agglomerative approach.eng
dc.description.versionpublished
dc.format.mimetypeapplication/pdfdeu
dc.identifier.citationFirst publ. in: IEEE Transactions on Knowledge and Data Engineering ; 20 (2008), 2. - S. 172-188deu
dc.identifier.doi10.1109/TKDE.2007.190689
dc.identifier.ppn302443878deu
dc.identifier.urihttp://kops.uni-konstanz.de/handle/123456789/5853
dc.language.isoengdeu
dc.legacy.dateIssued2009deu
dc.rightsAttribution-NonCommercial-NoDerivs 2.0 Generic
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/2.0/
dc.subjectgraph clusteringdeu
dc.subjectgraph partitioningdeu
dc.subjectmodularitydeu
dc.subjectcommunity structuredeu
dc.subjectgreedy algorithmdeu
dc.subject.ddc004deu
dc.titleOn Modularity Clusteringeng
dc.typeJOURNAL_ARTICLEdeu
dspace.entity.typePublication
kops.citation.bibtex
@article{Brandes2008Modul-5853,
  year={2008},
  doi={10.1109/TKDE.2007.190689},
  title={On Modularity Clustering},
  number={2},
  volume={20},
  journal={IEEE Transactions on Knowledge and Data Engineering},
  pages={172--188},
  author={Brandes, Ulrik and Delling, Daniel and Gaertler, Marco and Görke, Robert and Hoefer, Martin and Nikoloski, Zoran and Wagner, Dorothea}
}
kops.citation.iso690BRANDES, Ulrik, Daniel DELLING, Marco GAERTLER, Robert GÖRKE, Martin HOEFER, Zoran NIKOLOSKI, Dorothea WAGNER, 2008. On Modularity Clustering. In: IEEE Transactions on Knowledge and Data Engineering. 2008, 20(2), pp. 172-188. Available under: doi: 10.1109/TKDE.2007.190689deu
kops.citation.iso690BRANDES, Ulrik, Daniel DELLING, Marco GAERTLER, Robert GÖRKE, Martin HOEFER, Zoran NIKOLOSKI, Dorothea WAGNER, 2008. On Modularity Clustering. In: IEEE Transactions on Knowledge and Data Engineering. 2008, 20(2), pp. 172-188. Available under: doi: 10.1109/TKDE.2007.190689eng
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kops.sourcefieldIEEE Transactions on Knowledge and Data Engineering. 2008, <b>20</b>(2), pp. 172-188. Available under: doi: 10.1109/TKDE.2007.190689deu
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kops.sourcefield.plainIEEE Transactions on Knowledge and Data Engineering. 2008, 20(2), pp. 172-188. Available under: doi: 10.1109/TKDE.2007.190689eng
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