Abstract: Complex network theory is a newly risen subject. Due to the rapid development, the structure of computer network is increasingly complicated ，as a result, the traditional random network model is difficult to characterize objectively current computer network topology’s character, so complex network theory provides new view and thinking to study in this field. In the paper, complex theory is introduced; Then it surveys current status of research on computer network topology based on complex network theory, also points out some problems existing among them, as well as applying this theory to study computer network topology is emphasized; At last, the direction to research in future are summarized..

Key words: computer network, complexity network, network topology

摘要： 复杂网络理论是一门新兴学科．随着计算机网络的快速发展，网络结构日益复杂，使得传统的随机网络模型已很难对其拓扑特性做出客观的描述,因此，复杂网络理论为计算机网络拓扑的研究提供了一个新的视野和思路．文章对复杂网络理论做了介绍，综述了当前基于复杂网络理论计算机网络拓扑研究的状况并指出了其中存在的问题；强调将复杂网络理论应用到计算机网络拓扑研究当中的必要性．最后对复杂网络理论在未来计算机网络拓扑研究中的可能应用方向做了总结．

关键词: 计算机网络, 复杂网络, 网络拓扑