Scale-free multicomponent growing networks.

We propose a multicomponent growing network model which consists of many types of nodes as well as links only between the nodes of different types. Such a multicomponent network is constructed by (i) introducing a new node of one type and immediately linking it to a preexisting node of the other type, and (ii) creating a new link between two nodes of different types. We then investigate the connectivity of the multicomponent growing networks by means of the rate equations. For a network system with shifted or asymptotically linear connection rate kernels, the degree distributions take scale-free power-law forms, while a random growing network has exponential degree distributions.