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Identification of influential spreaders in complex networks
Spreading of information, ideas or diseases can be conveniently modelled in the context of complex networks. An analysis now reveals that the most efficient spreaders are not always necessarily theExpand
Self-similarity of complex networks
A power-law relation is identified between the number of boxes needed to cover the network and the size of the box, defining a finite self-similar exponent to explain the scale-free nature of complex networks and suggest a common self-organization dynamics. Expand
A phase diagram for jammed matter
This work presents a statistical description of jammed states in which random close packing can be interpreted as the ground state of the ensemble of jammed matter and demonstrates that random packings of hard spheres in three dimensions cannot exceed a density limit of ∼63.4 per cent. Expand
Origins of fractality in the growth of complex networks
It is shown that the key principle that gives rise to the fractal architecture of networks is a strong effective ‘repulsion’ (or, disassortativity) between the most connected nodes (that is, the hubs) on all length scales, rendering them very dispersed. Expand
Influence maximization in complex networks through optimal percolation
This work maps the problem onto optimal percolation in random networks to identify the minimal set of influencers, which arises by minimizing the energy of a many-body system, where the form of the interactions is fixed by the non-backtracking matrix of the network. Expand
The Area and Population of Cities: New Insights from a Different Perspective on Cities
The distribution of the population of cities has attracted a great deal of attention, in part because it sharply constrains models of local growth. However, to this day, there is no consensus on theExpand
Granular packings: nonlinear elasticity, sound propagation, and collective relaxation dynamics.
The work indicates that a correct treatment of a deforming granular assembly of soft spheres under isotropic loading should include not only the purely elastic response but also collective relaxation mechanisms related to structural disorder and nonaffine motion of grains. Expand
Why Effective Medium Theory Fails in Granular Materials
Experimentally it is known that the bulk modulus $K$ and shear modulus $\ensuremath{\mu}$ of a granular assembly of elastic spheres increase with pressure $p$ faster than the ${p}^{1/3}$ lawExpand
How to calculate the fractal dimension of a complex network: the box covering algorithm
Covering a network with the minimum possible number of boxes can reveal interesting features for the network structure, especially in terms of self-similar or fractal characteristics. ConsiderableExpand
A small world of weak ties provides optimal global integration of self-similar modules in functional brain networks
It is shown that a modified percolation theory can define a set of hierarchically organized modules made of strong links in functional brain networks, which are far from being small-world but which suggest a natural solution to the paradox of efficient information flow in the highly modular structure of the brain. Expand