We define metrics to characterize the performance of ad hoc networks based on timescales for information flow, power consumption and interference. The statistical distribution of timescales has not been previously considered. Yet, it is important for understanding the feasibility of communicating over such networks, for comparing different algorithms for building up network topology and for dis...

Several studies on real complex networks from different fields as biology, economy , or sociology have shown that the degree of nodes (number of edges connected to each node) follows a scale-free power-law distribution like P (k) ≈ k −γ , where P (k) denotes the frequency of the nodes that are connected to k other nodes. Here we have carried out a study on scale-free networks, where a line grap...

We give an exact solution for the complete distribution of component sizes in random networks with arbitrary degree distributions. The solution tells us the probability that a randomly chosen node belongs to a component of size s for any s . We apply our results to networks with the three most commonly studied degree distributions-Poisson, exponential, and power-law-as well as to the calculatio...

Many recent large-scale studies of interaction networks have focused on networks of accumulated contacts. In this paper we explore social networks of ongoing relationships with an emphasis on dynamical aspects. We find a distribution of response times (times between consecutive contacts of different direction between two actors) that has a power-law shape over a large range. We also argue that ...

The problem of voltage unbalance and its impacts on sensitive loads is well known. To solve these problems, custom power devices are used such as dynamic voltage restorer (DVR), which is most efficient and effective modern device. This paper discusses a review of the researches on the Dynamic voltage restorer (DVR) for power quality Improvement in power distribution networks. Sensitivity indust...

We study the statistical properties of a variety of diverse real-world networks. We present evidence of the occurrence of three classes of small-world networks: (a) scale-free networks, characterized by a vertex connectivity distribution that decays as a power law; (b) broad-scale networks, characterized by a connectivity distribution that has a power law regime followed by a sharp cutoff; and ...