Rich-club connectivity dominates assortativity and transitivity of complex networks

Details Rich-club connectivity dominates assortativity and transitivity of complex networks Rich-club connectivity dominates assortativity and transitivity of complex networks

2010-10-08

arxiv.org/abs/1010.1705v1

Physics

Physics and Society

5 pages, 2 figures, accepted by Phys. Rev. E

Scientific paper

Rich-club, assortativity and clustering coefficients are frequently-used measures to estimate topological properties of complex networks. Here we find that the connectivity among a very small portion of the richest nodes can dominate the assortativity and clustering coefficients of a large network, which reveals that the rich-club connectivity is leveraged throughout the network. Our study suggests that more attention should be payed to the organization pattern of rich nodes, for the structure of a complex system as a whole is determined by the associations between the most influential individuals. Moreover, by manipulating the connectivity pattern in a very small rich-club, it is sufficient to produce a network with desired assortativity or transitivity. Conversely, our findings offer a simple explanation for the observed assortativity and transitivity in many real world networks --- such biases can be explained by the connectivities among the richest nodes.

Affiliated with

Also associated with

No associations

Rating

Rich-club connectivity dominates assortativity and transitivity of complex networks does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Rich-club connectivity dominates assortativity and transitivity of complex networks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rich-club connectivity dominates assortativity and transitivity of complex networks will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-486661