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Partitionnement d'un réseau de sociabilité à fort coefficient de clustering

Abstract

In order to compare social organization of a medieval peasantry before and after the Hundred Years' War we study the sructure of social networks built from a corpus of agrarian contracts. Low diameters and high clusterings show small-world graphs. Like many other networks studied these last years these graphs are scale-free. The distributions of the vertex degrees are fitted by a truncated power law. Moreover they have a rich-club : a dense core with a low diameter consisting of vertices with high degree. The particular shape of the laplacian spectrum allows us to extract communities that are spread along a star whose center is the rich-club.
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Dates and versions

hal-00109009 , version 1 (23-10-2006)
hal-00109009 , version 2 (27-11-2006)

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Romain Boulet, Bertrand Jouve. Partitionnement d'un réseau de sociabilité à fort coefficient de clustering. 2006. ⟨hal-00109009v2⟩
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