In this paper, we present a detailed analysis of the global clustering coefficient in scale-free graphs. Many observed real-world networks of diverse nature have a power-law degree distribution. Moreover, the observed degree distribution usually has an infinite variance. Therefore, we are especially interested in such degree distributions. In addition, we analyze the clustering coefficient for ...

In this paper, we study normalized solutions to a fourth-order Schrödinger equation with positive second-order dispersion coefficient in the mass supercritical regime. Unlike well-studied case where term is zero or negative, geometrical structure of corresponding energy functional changes dramatically and makes solution set richer. Under suitable control mass, find at least two radial solutions...