Marc Barthelemy

Betweenness centrality in large complex networks

Abstract.We analyze the betweenness centrality (BC) of nodes in large complex networks. In general, the BC is increasing with connectivity as a power law with an exponent

Scaling: Lost in the Smog

eta

FARADAY EFFECT IN COMPOSITES

. We find that for trees or networks with a small loop density

Path-integral approach to strongly nonlinear composites

eta = 2

Functional methods and effective potentials for non-linear composites

while a larger density of loops leads to

A path integral approach to effective non-linear medium

eta < 2

Measuring the Time Evolution of Spatial Networks

. For scale-free networks characterized by an exponent

From Complex to Spatial Networks

gamma

Spatial Generalizations of Random Graphs

which describes the connectivity distribution decay, the BC is also distributed according to a power law with a non universal exponent

Spatial Dominance and Community Detection

delta