网络科学中统一混合理论模型的若干研究进展

复杂网络的理论模型研究一直是网络科学的最重要课题之一.首先概述网络科学理论发展史上的3个里程碑以及有权演化网络的发展概况.为了全面反映确定性与随机性混合的真实世界的统一性、多样性和复杂性,使网络理论模型更加接近实际网络的全面特性,着重评述近年来发展的统一混合网络理论模型的3部曲:和谐混合择优模型、统一混合网络模型和统一混合变速增长网络模型,总结和评述了混合理论模型3部曲的不同特点和相互联系,揭示了统一混合网络的复杂性与普适性及其错综复杂的转变关系.最后指出, 该理论在多层次高科技网络等实际网络中的应用前景. 

ADVANCES IN UNIFIED HYBRID THEORETICAL MODEL OF NETWORK SCIENCE

Theoretical model has been one of the most significant issues in the network sciences. First of all, three milestones in this area are reviewed as breakthroughs in theoretical models, and progress in weighted evolution network model is presented. In order to describe the determinist and randomness of the harmony and unity of the real world and to mirror overall property of the real-world networks, the unified hybrid network theoretical frame, which formed the so-called hybrid network theoretical model trilogy, are reviewed and summarized in the main part of this article: the first of the trilogy is a harmonious unification hybrid preferential model (HUHPM), the second the large unification hybrid network model (LUHNM) and the third the large unified hybrid variable growth model (LUHVGM). Main features and topological properties of the hybrid network trilogy are then summarized, and diversity and complexity of the complex networks are revealed as well as their complicated transition relationship. Possible applications of these theories to actual networks are finally mentioned.