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The study of complex networks has gained much interest. In particular, network coherence is a current hot topic. In this paper, we construct the weighted treelike network with weight factor to be our model. Although some properties have been revealed in weighted treelike networks, studies on their network coherence are still less and remain a challenge. In order to enrich the research of weighted...
This paper extends the definition of an exact consensus complex social network to that of a near consensus complex social network. A near consensus complex social network is a social network with nontrivial topological features and steady state values of the decision certitudes of the majority of the nodes being either higher or lower than a threshold value. By using eigen theories, the relationships...
Network centrality indices are quantification of the fact that some nodes/edges are more central or more important in a network than others. Different centrality indices are suitable for different applications, but most of them have structural significance and require that the network be connected. Most centrality measures are only definitions and there hasn't been much work done in measuring the...
We consider spectral analysis of complex networks. It is well known that the eigenvalue spectrum of complex networks provides information about their structural properties. Therefore, we present spectral properties of some different real-world networks such as regular networks, random networks, small-world networks, scale-free networks, and so on. We find that in random networks, the smallest nonzero...
The research of weakness ties in graphs such as interconnected electrical transmission grids is a major concern in large infrastructures' studies. Some novel methodologies which are developed in advanced topics of complex systems studies and graph theory may be applied to the electrical grid. Indeed, in order to identify the potential cuts of large interconnected networks such as the interconnected...
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