Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2001-04-10
Physica A 311, (3-4) (2002), pp. 590-614
Physics
Condensed Matter
Soft Condensed Matter
14 pages, 15 figures
Scientific paper
10.1016/S0378-4371(02)00736-7
The co-authorship network of scientists represents a prototype of complex evolving networks. By mapping the electronic database containing all relevant journals in mathematics and neuro-science for an eight-year period (1991-98), we infer the dynamic and the structural mechanisms that govern the evolution and topology of this complex system. First, empirical measurements allow us to uncover the topological measures that characterize the network at a given moment, as well as the time evolution of these quantities. The results indicate that the network is scale-free, and that the network evolution is governed by preferential attachment, affecting both internal and external links. However, in contrast with most model predictions the average degree increases in time, and the node separation decreases. Second, we propose a simple model that captures the network's time evolution. Third, numerical simulations are used to uncover the behavior of quantities that could not be predicted analytically.
Barabasi Albert-László
Jeong Halyun
Neda Zoltán
Ravasz Erzsebet
Schubert A.
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