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Titlebook: Complex Networks; Results of the 1st I Santo Fortunato,Giuseppe Mangioni,Vincenzo Nicosia Book 2009 Springer-Verlag Berlin Heidelberg 2009

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Small World Behavior of the Planetary Active Volcanoes Network: Preliminary Resultsrld over the last two thousand years in order to create a functional network. Currently the most relevant result obtained from this study is that the obtained complex network is characterized by small world features.
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Finding Community Structure Based on Subgraph Similarityde the same level of reliability, measure by modularity, while takes much shorter time than the well-known fast algorithm proposed by Clauset, Newman and Moore (CNM). We further propose a hybrid algorithm that can simultaneously enhance modularity and save computational time compared with the CNM algorithm.
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An Axiomatic Foundation for Epidemics on Complex Networksditions we show that the time independent solution is the limit of a unique time dependent solution. We also provide a rigorous definition of the epidemic threshold, ..:=1/.. with .. denoting the largest positive eigenvalue of an operator . given in the axioms of our model.
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