Degree Distribution of a Two-Component Growing Network

We propose a two-component growing network model which comprises two kinds of nodes. Such a network is constructed by introducing new nodes of either kind with no immediate links and creating new links between any two nodes. We then investigate the connectivity of the two-component growing network by means of the rate equation approach. For a network system with shifted linear connection rate kernels, the in-degree and out-degree distributions take power-law forms; while for a random growing network, the in-degree and out-degree distributions are both exponential. Moreover, the in-degree and out-degree distributions are correlated each other.