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arXiv · 1011.4161

Community characterization of heterogeneous complex systems

Michele Tumminello·Salvatore Miccichè·Fabrizio Lillo·Jan Varho·Jyrki Piilo·Rosario N. Mantegna
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Abstract

We introduce an analytical statistical method to characterize the communities detected in heterogeneous complex systems. By posing a suitable null hypothesis, our method makes use of the hypergeometric distribution to assess the probability that a given property is over-expressed in the elements of a community with respect to all the elements of the investigated set. We apply our method to two specific complex networks, namely a network of world movies and a network of physics preprints. The characterization of the elements and of the communities is done in terms of languages and countries for the movie network and of journals and subject categories for papers. We find that our method is able to characterize clearly the identified communities. Moreover our method works well both for large and for small communities.

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Michele Tumminello, Salvatore Miccichè, Fabrizio Lillo, Jan Varho, Jyrki Piilo, Rosario N. Mantegna. 2010-11-18. Community characterization of heterogeneous complex systems. https://doi.org/10.1088/1742-5468%2F2011%2F01%2Fp01019

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