Network Science

Minimum spanning trees of weighted scale-free networks

A complete characterization of real networks requires us to understand the consequences of the uneven interaction strengths between a system’s components. Here we use minimum spanning trees (MSTs) to explore the effect of correlations between link weights and network topology on scale-free networks. Solely by changing the nature of the correlations between weights and network topology, the structure of the MSTs can change from scale-free to exponential. Additionally, for some choices of weight correlations, the efficiency of the MSTs increases with increasing network size, a result with potential implications for the design and scalability of communication networks.


More publications
R. J. Williams, N. D. Martinez, E. L. Berlow, J. A. Dunne, A.-L. Barabási

Proceedings of the National Academy of Sciences 99, 12913-12916 (2002)

B. Kahng, H. Jeong, A.-L. Barabási

Journal of the Korean Physical Society 39, 421-424 (2001)

A.L. Barabási, H. Jeong, Z. Neda, E. Ravasz, A. Schubert, T. Vicsek

Physica A 311, 590-614 (2002)