Rich-club phenomenon across complex network hierarchies
Julian McAuley, Luciano da Fontoura Costa and Tiberio Caetano
Applied Physics Letters Volume 91, Number 084103, 2007.

Abstract

The “rich-club phenomenon” in complex networks is characterized when nodes of higher degree are more interconnected than nodes with lower degree. The presence of this phenomenon may indicate several interesting high-level network properties, such as tolerance to hub failures. Here, the authors investigate the existence of this phenomenon across the hierarchies of several real-world networks. Their simulations reveal that the presence or absence of this phenomenon in a network does not imply its presence or absence in the network's successive hierarchies, and that this behavior is even nonmonotonic in some cases.

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