摘要
研究两种高聚类系数无标度网络演化机理对网络同步能力的影响.首先,以Holme和Kim(HK)模型为基础,提出了度分布和聚类系数均可调的扩展HK模型(EHK模型).扩展HK模型将HK模型中的三角结构扩展到了旧节点之间,解决了HK模型边的演化只存在新旧节点之间以及每个时间步加入网络节点的边数固定的不足.其次,研究了三角结构演化机理对网络同步能力的影响.最后,仿真研究发现三角结构的演化机理降低了两类无权网络的同步能力.
The relations between two highly clustered scale-free network evolution mechanisms and synchronizability are studied in this paper. Firstly, we propose an extended Holme and Kim (EHK) model with adjustive clustering coefficients and power-law exponent based on the Holme and Kim (HK) model. Triad formation mechanism is extended among old nodes compared with the HK model. And the following shortages of HK modle are settled: there is no link evolution in old nodes and the numbers of links of a new node adding to network is fixed. Secondly, the effect of triad formation on synchronizability in an unweighted network is investigated. Finally, simulation results show that the triad formation mechanism can weaken the synchronizability of both types of networks.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2012年第22期148-155,共8页
Acta Physica Sinica
基金
国家自然科学基金青年科学基金(批准号:61203152
61104029)
辽宁省博士科研启动基金(批准号:20121040)资助的课题~~
关键词
无标度网络
聚类系数
同步能力
scale-free network, clustering coefficient, synchronizability