阿波罗网络模型的若干统计指标

Some Statistical Indexes of Apollonian Network Models

针对具有无标度特性的阿波罗网络模型,为了进一步研究网络遭到蓄意攻击以后的受损程度,详细计算了瓦解度、脆弱度等新的参数.受度累积分布的启发,提出了新的D-度累积分布以及dd-度累积分布,并通过计算度累积分布和边累积分布,验证4类分布彼此等价且均服从指数分布.

Aimed at the Apollonian network model with scale-free properties, we propose some new parameters for this model in or-der to further discuss the damage rank of attacked networks, such as collapse-rank, fragile-rank and so on.Inspired by cumulative de-gree distribution,we also propose new D-degree cumulative distribution and dd-degree cumulative distribution, and compute it withcumulative degree distribution and edge cumulative distribution for verifying the equivalency of these distributions, as well as showthat four all are exponential.