提出复杂网络的另一类家族的确定性金字塔,它是由确定性的不同连接方式构造的广义Farey组织的网络金字塔(GFONP),理论推导了该类金字塔网络的拓扑性质及其转变特点,发现三种GFONP网络的度分布都服从指数分布形式,随着时间t的不断演化网络金字塔群聚系数不断减小并趋于一个常数,同时网络金字塔从异配向同配转变,度-度相关系数也趋于一个正的常数.结果显示这类型网络的新特性具有应用潜力.
Another family of complex network——the generalized Farey organized network pyramid (GFONP) is introduced. Three typical determinate constructional algorithms are shown,and corresponding topological characteristics are studied by theoretical and numerical analysis. The results show that the three determinate GFOPN networks have similar characteristics,i. e. their degree distributions follow exponential distribution in form,the clustering coefficient of the network decreases to a constant value with the step t increasing,the resulting network evolves from one with disassortative to one with assortative coefficient with increasing t,and the degree-degree correlation coefficient tends to a positive constant. This may lead to potential applications of the network of pyramidal structure.