在URT (uniform recursive tree)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GDURT (generalized deterministic uniform recursive tree).通过精确推导,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,表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分析.
The GDURT (generalized deterministic uniform recursive tree) evolution model is put forward on the basis of URT (uniform recursive tree) model,which proves to be similar as the properties of URT and DURT network models through the exact derivation procedures on the properties such as cumulative degree distribution,average path length and degree correlation of GDURT model.This model has a small-world effect,exponential degree distribution and assortative features.Some analyses are made to reveal the reason for why these properties mentioned above emerges.