On the Emergence of Islands in Complex Networks

Figure 2

A network comprising three nodes (, , ). In this network, the in-neighbors of are and . Also the number of nodes with three incoming links is . There are two possible ways to increase : () a new node randomly selects node and connects to it ( in the figure and (15)); thus ; () a new node randomly selects an in-neighbor of and connects to it (solid line) and to (dashed line), as stated by in (15) and this figure.