The current study of various complex networks is pervading all kinds of sciences, ranging from physical, engineering, biological to social sciences. Its impact on business and technology is prominent and will be far-reaching. Typical complex networks include the Internet, the World Wide Web, wireless communication networks, biological neural networks, financial networks, transportation networks, social networks, and many others. Research on mathematical modeling and fundamental properties of such complex networks has become overwhelming.

In this public science talk, we will demonstrate that complex networks are indeed ubiquitous in our daily lives today. To provide some background on network science, we will firstly offer a brief overview of three basic mathematical models of complex networks: random-graph networks, small-world networks and scale-free networks, and then present a few representative examples: the Internet, WWW, and some social networks such as the movie-actors network and scientific collaboration network, as well as some biological networks, which altogether will lead the audiences to foresee more useful real-world applications of network science in the near future.