Recently, it has been demonstrated that many large complex networks display a scale-free feature, that is, their … connectivity distributions have the power-law form. In the present work, control of a scale-free dynamical network by applying …

divided into two parts, four parts, eight parts, and so on, and form a hierarchy with cascade structure. If we rank these …-urban hierarchy complies with Zipf’s law, and the values of the rank-size scaling exponent are very close to 1. The significance of …

species with hierarchy interactions in which one predator species has more than one prey, we find that hierarchy disappears in … interactions appear to eradicate hierarchy. This conclusion is analyzed by a mean-field approach and is tested by stochastic …

-filtering methodology on 36 sovereign CDS spread time-series in order to identify the sovereigns’ informational hierarchy. The resulting … hierarchy (i) concurs with sovereigns’ eigenvector centrality; (ii) confirms the importance of geographical and credit rating …

that the pure clustering-driven addition of the certain pattern is not responsible for the resulting network hierarchy and …

capability, the network collapses under certain conditions. We focus on when the collapse occurs for hierarchical networks and … also on the influence of the flatness or steepness of the structure. We find that the need for hierarchy is related to the …

The urban road networks of the 20 largest German cities have been analysed, based on a detailed database providing the …

as a q-sequence. Based on this sequence, a self-similar hierarchy consisting of many levels is defined and the numbers of … from the hierarchy. Thus we have two exponential functions, from which follows a hierarchical scaling equation. The results … information about city development than the former. Moreover, the self-similar hierarchy provides a new perspective for studying …

In order to describe the community structure upon the dynamical evolution of complex networks, we propose a new …(S⩾s)∼s−ν and P(k)∼k−γ with exponents of ν⩾1 and γ∈[2, +∞), respectively. Besides, complex networks generated by the CBEN model are … hierarchically structured, which cover the range from disassortative networks to assortative networks. …