The scale-free property and community structures of complex networks formed by local events have been studied theoretically, numerically, and empirically. We showed analytically and numerically that the degree distribution function P(k) of the local-world evolving network exhibits a crossover...

In this paper, we consider the artificial scale-free traffic network with dynamic weights (cost) and focus on how the removal strategies (flow-based removal, betweenness-based removal and mix-based removal) affect the damage of cascading failures based on the user-equilibrium (UE) assignment,...

In this paper, we analytically study the probabilistic accelerating network [M.J. Gagen, J.S. Mattick, Phys. Rev. E 72 (2005) 016123] in its accelerating regimes by using mean field theory. In the growing network, the number of links added with each new node is a nonlinearly increasing function...

In this paper, by both simulations and theoretical predictions we study two and three node (or degree) correlations in random Apollonian network (RAN), which have small-world and scale-free topologies. Using the rate equation approach under the assumption of continuous degree, we first give the...

We consider a finite set S={x1,…,xr} and associate to each element xi a probability pi. We then form sequences (N-strings) by drawing at random N elements from S with respect to the probabilities assigned to them. Each N-string generates a network where the elements of S are represented as...

The potential for associative recall of diluted neuronal networks is investigated with respect to several biologically relevant configurations, more specifically the position of the cells along the input space and the spatial distribution of their connections. First, we put the asymmetric...

Using a recently proposed model Physica A 332 (2004) 566 of information transport on complex networks we study the role of network substrates on the statistics of queuing times and correlations in traffic streams. When navigation with an enlarged information horizon is applied the waiting time...

In our work the process of opinion formation in the human population, treated as a scale-free network, is modeled and investigated numerically. The individuals (nodes of the network) are characterized by their authorities, which influence the interpersonal interactions in the population....

A network growth mechanism based on a two-step preferential rule is investigated as a model of network growth in which no global knowledge of the network is required. In the first filtering step a subset of fixed size m of existing nodes is randomly chosen. In the second step the preferential...

Many networks are characterized by highly heterogeneous distributions of links which are called scale-free networks, and the degree distributions follow p(k)∼ck-α. We study the robustness of scale-free networks to random failures from the character of their heterogeneity. Entropy of the...