Volume 72, Number 2, October 2005
|Page(s)||308 - 314|
|Section||Interdisciplinary physics and related areas of science and technology|
|Published online||14 September 2005|
Minimum spanning trees of weighted scale-free networks
Center for Network Research and Department of Physics, University of Notre Dame Notre Dame, IN 46556, USA
Corresponding author: firstname.lastname@example.org
Accepted: 26 August 2005
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.
PACS: 89.75.Fb – Structures and organization in complex systems / 89.75.Hc – Networks and genealogical trees / 89.20.Hh – World Wide Web, Internet
© EDP Sciences, 2005
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.