Minimum spanning trees of weighted scale-free networks

P. J Macdonald, E Almaas, A.-L Barabási
2005 Europhysics letters  
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
more » ... orrelations, the efficiency of the MSTs increases with increasing network size, a result with potential implications for the design and scalability of communication networks.
doi:10.1209/epl/i2005-10232-x fatcat:nrnmqktw3naqnldhjuepwgjllm