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Correlations among centrality indices and a class of uniquely ranked graphs

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2017

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Valente, Thomas W.

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Social Networks. 2017, 50, pp. 46-54. ISSN 0378-8733. eISSN 1879-2111. Available under: doi: 10.1016/j.socnet.2017.03.010

Zusammenfassung

Various centrality indices have been proposed to capture different aspects of structural importance but relations among them are largely unexplained. The most common strategy appears to be the pairwise comparison of centrality indices via correlation. While correlation between centralities is often read as an inherent property of the indices, we argue that it is confounded by network structure in a systematic way. In fact, correlations may be even more indicative of network structure than of relationships between indices. This has substantial implications for the interpretation of centrality effects as it implies that competing explanations embodied in different indices cannot be separated from each other if the network structure is close to a certain generalization of star graphs.

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Fachgebiet (DDC)
004 Informatik

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Network centrality; Correlation; Neighborhood inclusion; Centrality indices; Threshold graphs

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ISO 690SCHOCH, David, Thomas W. VALENTE, Ulrik BRANDES, 2017. Correlations among centrality indices and a class of uniquely ranked graphs. In: Social Networks. 2017, 50, pp. 46-54. ISSN 0378-8733. eISSN 1879-2111. Available under: doi: 10.1016/j.socnet.2017.03.010
BibTex
@article{Schoch2017-07Corre-39550,
  year={2017},
  doi={10.1016/j.socnet.2017.03.010},
  title={Correlations among centrality indices and a class of uniquely ranked graphs},
  volume={50},
  issn={0378-8733},
  journal={Social Networks},
  pages={46--54},
  author={Schoch, David and Valente, Thomas W. and Brandes, Ulrik}
}
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