ANALYSES OF SOME STRUCTURAL PROPERTIES ON A CLASS OF HIERARCHICAL SCALE-FREE NETWORKS

Hierarchical networks as fundamental models to describe the complex networks, have many applications in science, engineering technology and so on. In this paper, we first propose a new class of hierarchical with fractal structure, which are triangles compared traditional networks. Second, study precise results some structural properties derive small-world effect scale-free feature. Third, it is found that constructed network sparse through average degree density. Fourth, also demonstrated distributions hub nodes bottom power law exponential, respectively. Finally, prove clustering coefficient definite value [Formula: see text] tends stabilize at lower bound iterates certain number, distance has an increasing relationship along text].