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.
Keywords
social networks
distribution des degrés
degree distribution
loi de puissance
power-law
truncated power law
loi de puissance tronquée par une coupure exponentielle
clustering
small-world
petit monde
connectivité locale
communautés
communities
rich-club
club huppé
laplacien
laplacian
réseau de sociabilité paysan du moyen-âge
graphe
graph
réseau d'interaction
systèmes complexes
réseaux sociaux
Origin : Files produced by the author(s)
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