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. Albert, H. Jeong, A.-L. Barabási

Nature 401, 130-131 (1999)

A.-L. Barabási, E. Bonabeau

Scientific American 288, 50-59 (2003)

G. Bianconi, A.-L. Barabási

Europhysics Letters 54, 436-442 (2001)