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Recently it has been recognized that complex networks are powerful models for unified analysis of a wide range of systems in society and nature. In order to organize an updated lecture of the complex networks in university course, we are developing a new learning system for the complex networks by combining information technology, such as WEB, to traditional way of education. Our new learning system developed by using Jave-applet consists of several parts, such as 1) real networks, 2)basic mathematics, 3)graph theory, 4) random graph, 5) small world networks, 6)scale free network, 7)simulation. In the learning-system, learners can deal with the learning objects interactively and visually. In this paper, we will demonstrate usefulness of our learning system by showing the new results for the generalize networks obtained by simulation implemented in the system.