摘要
有可变速度生长(LUHNM-VSG ) 的一个大统一混合网络模型作为统一混合网络的第三个模型被建议理论框架(UHNTF ) 。到随机的连接数字和可变速度生长索引的确定的连接数字的混合生长比率 vg 在它被介绍。vg 并且在 LUHNM-VSG 的拓扑的转变特征上的主要效果被揭示。为与另外的模型一起的比较,我们与七个层次,从底部,到金字塔简洁普遍性的最高的 level-7 的 level-1 在正在增加构造网络复杂性金字塔的一种类型但是复杂性差异正在减少。在他们之间的转变关系取决于四混合比率匹配(医生, fd, gr, vg ) 。因此,网络模型的大多数能经由四混合比率以统一方法被调查(医生, fd, gr, vg ) 。金字塔的 level-1 对对真实世界的网络的描述好一些、更靠近以及有潜在的申请的 LUHNM-VSG。
A large unified hybrid network model with a variable speed growth (LUHNM-VSG) is proposed as third model of the unified hybrid network theoretical framework (UHNTF). A hybrid growth ratio vg of deterministic linking number to random linking number and variable speed growth index a are introduced in it. The main effects of vg and a on topological transition features of the LUHNM-VSC are revealed. For comparison with the other models, we construct a type of the network complexity pyramid with seven levels, in which from the bottom level-1 to the top level-7 of the pyramid simplicity-universality is increasing but complexity-diversity is decreasing. The transition relations between them depend on matching of four hybrid ratios (dr, fd, gr, vg). Thus the most of network models can be investigated in the unification way via four hybrid ratios (dr, fd, gr, vg). The LUHNM-VSG as the level-1 of the pyramid is much better and closer to description of real-world networks as well as has potential application.
基金
Supported by National Natural Science Foundation of China under Grant Nos. 70431002, 10647001, and 60874087
关键词
普遍性
多样化
网络模型
混合网络
混合比例
金字塔
经济增长
转换功能
unified hybrid network theoretical framework, unified, hybrid network model with variable speedgrowth, network complexity pyramid, complexity-diversification, simplicity-universality