Scale-free and small-world properties in an incompatibility hierarchical network

Abstract

In accordance with a particular iterative method, an incompatibility hierarchical network is introduced and the topological features of the network is investigated, It contains the degree distribution, diameter, clustering coefficient, second moment of distribution and degree correlations. The incompatibility hierarchical network is a simultaneous small-world, scale-free, assortative and divergent, which makes it possible to research the complexity of some real networks.