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 the… Expand

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

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

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

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 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 the… Expand

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

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 ${p}^{1/3}$ law… Expand

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. Considerable… Expand

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