#
An attempted model for dynamic centrality in complex networks

*
Scott A. Hill, Physics, University of Dallas
*

A recent paper (Braha and Bar-Yam, Complexity 12(2):1-5 2006)
discovered the phenomenon of dynamic centrality in a scale-free email
network, where the network was scale-free even on a daily basis, but
with hubs that shifted from day to day. This raises two questions:
(1) why should the aggregate of a set of scale-free networks also be
scale-free, and (2) why should the daily networks be scale-free at
all, since they form over a timespan presumably too short for certain
nodes to become "popular" as in the rich-get-richer model. This talk
will address these questions, by presenting a possible theoretical
model for dynamic centrality.