【摘要】 均匀递归树模型(Uniform Recursive Tree,URT)在复杂网络确定性模型研究领域中得到了广泛的关注和应用。在URT模型的基础上提出一种推广的确定性均匀递归树演化模型(Generalized Deterministic Uniform Recursive Tree,GDURT),通过精确求得该模型的累计度分布、平均路径长度、度相关性等拓扑性质,证明了该类网络模型与URT和DURT网络模型类似,为小世界网络,且具有指数度分布和协调的度相关特性,并对产生这些特性的原因作出了理论分析。更多还原

【Abstract】 The Uniform Recursive Tree model(URT) has been widely intentioned and applied to the research fields of deterministic models for complex networks.The Generalized Deterministic Uniform Recursive Tree(GDURT) evolution model is put forward on the basis of URT model and is proved to be the similar as the properties of URT and DURT network models through the exact studies on the properties such as cumulative degree distribution,average path length and degree correlation of GDURT model which has a small-world effect,exponential degree distribution and assortative features.And some analysis is made to reveal the reason of these emerging properties mentioned above.更多还原