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Analysis of Network Data Based on Probability Neighborhood Cliques

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Challenges at the Interface of Data Analysis, Computer Science, and Optimization

Abstract

The authors present the concept of a “probability neighborhood clique” intended to substantiate the idea of a “community”, i.e. of a dense subregion within a (simple) network. For that purpose the notion of a clique is generalized in a probabilistic way. The probability neighborhoods employed for that purpose are indexed by one or two tuning parameters to bring out the “degree of denseness” respectively a hierarchy within that community. The paper, moreover, reviews other degree based concepts of communities and addresses algorithmic aspects.

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Correspondence to Andreas Baumgart .

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Baumgart, A., Müller-Funk, U. (2012). Analysis of Network Data Based on Probability Neighborhood Cliques. In: Gaul, W., Geyer-Schulz, A., Schmidt-Thieme, L., Kunze, J. (eds) Challenges at the Interface of Data Analysis, Computer Science, and Optimization. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24466-7_22

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