Prominence and control: The weighted rich-club effect

Abstract

Complex systems are often characterized by large-scale hierarchical organizations. Whether the prominent elements, at the top of the hierarchy, share and control resources or avoid one another lies at the heart of a system's global organization and functioning. Inspired by network perspectives, we propose a new general framework for studying the tendency of prominent elements to form clubs with exclusive control over the majority of a system's resources. We explore associations between prominence and control in the fields of transportation, scientific collaboration, and online communication.

4 pages, 3 figs

References in corpus (16)

• Emergence of scaling in random networks
• Statistical mechanics of complex networks
• The structure and function of complex networks
• Finding community structure in networks using the eigenvectors of matrices
• The architecture of complex weighted networks
• Who is the best connected scientist? A study of scientific coauthorship networks
• The worldwide air transportation network: Anomalous centrality, community structure, and cities' global roles
• Detecting rich-club ordering in complex networks
• The Rich-Club Phenomenon In The Internet Topology
• A fitness model for the Italian Interbank Money Market
• Patterns of dominant flows in the world trade web
• Social inertia in collaboration networks
• Optimal Paths in Complex Networks with Correlated Weights: The World-wide Airport Network
• Rich-club vs rich-multipolarization phenomena in weighted networks
• Transport on weighted Networks: when correlations are independent of degree
• Social inertia and diversity in collaboration networks

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• The behavior of rich-club coefficient in scale-free networks
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