Communities are common in complex networks and play a significant role in the functioning of social, biological, economic, and technological systems. Despite much interest in detecting community structures in complex networks and exploring the effect of communities on collective dynamics, a deep...

We study the betweenness centrality of fractal and non-fractal scale-free network models as well as real networks. We show that the correlation between degree and betweenness centrality C of nodes is much weaker in fractal network models compared to non-fractal models. We also show that nodes of...

We study the statistical properties of a recently proposed social networks measure of fragmentation F after removal of a fraction q of nodes or links from the network. The measure F is defined as the ratio of the number of pairs of nodes that are not connected in the fragmented network to the...