Relevance and Importance Preferential Attachment

Relevance and importance are the main factors when humans build network connections. We propose an evolutionary network model based on preferential attachment (PA) considering these factors. We analyze and compute several important features of the network class generated by this algorithm, including scale-free degree distribution, high clustering coefficient, small-world property and core-periphery structure. We then compare this model with other network models and empirical data such as intercity road transportation and air traffic networks.