-free networks embedded by the suggested algorithm are studied both analytically and through simulations. Our findings indicate … dramatic changes in the embedded networks, in comparison to their off-lattice counterparts, and call into question the … applicability of off-lattice scale-free models to realistic, everyday-life networks. …

in Erdős–Rényi (ER) and random scale free (SF) networks, with degree distribution P(k)=ck−λ. We show that the chemical … dimension is dl=2 for ER and SF networks with λ>4, as in percolation in d⩾dc=6 dimensions. For 3<λ<4 we show that dl=(λ−2)/(λ−3 …)/(λ−3) (3<λ<4). We discuss the meaning of these dimensions for networks. …

networks microscopic details. The commonly used algorithm for counting small-scale motifs is the one developed by Milo et al …. This algorithm is extremely costly in CPU time and actually cannot work on large networks, consisting of more than 100 …

Gene Regulatory Networks (GRNs) have become a major focus of interest in recent years. Although much work has been done …

The generation mechanisms of real world networks have been described using multiple models. The mathematical features … of these models are usually extrapolated from statistical properties of a snapshot of these networks. We here propose an … edges surrounding a newly added edge. The N-node local structure measurements reproduce for some networks the now classical …

Detecting overlapping communities is a challenging task in analyzing networks, where nodes may belong to more than one … networks and real-world networks. The experiments show that this method is efficient at detecting overlapping communities and … can provide better performance on the networks where a majority of nodes belong to more than one community. …

During recent years, networks have proven to be an efficient way to characterize and investigate a wide range of … correlations between these exchange rates. Then, using evolving networks obtained from strong correlations, we propose an …