聚类系数可调的类星形无标度网络模型

在网络平台空前发展的背景下,提出了一个由简单规则构造的聚类系数可调的类星形无标度网络模型.在模型的演化过程中,每个新加入的节点都通过两步连边的方式连接到网络中,其中一部分连边始终连到几个固定节点上,其余边按度优先机制随机连到其他非固定节点上.理论分析和数值仿真的结果一致表明,该模型同时具有无标度,小世界和类星形的特性.有趣的是,不仅度分布的幂指数依赖于固定节点个数δ和连边数m,而且聚类系数也受δ和m的调控,不同的是δ对聚类系数的影响很大,m对其影响较小,这样使得聚类系数具有很大的调节空间.进一步研究发现,该网络的同步能力也随固定节点个数的增加而增强.

Star-like scale-free network model with tunable clustering

In the context of unprecedented development of the network platform,this paper propose a simple rule to construct the star-like scale-free network model with tunable clustering.In the process of evolution of the model,each newly added node is connected to the network through two steps,and some of the links are connected to several fixed nodes while the other edges are randomly connected to the non-fixed nodes by the degree first mechanism.Theoretical analysis and numerical simulation show that the model has the characteristics of scale-free,small-world and star-like.Interestingly,not only the power exponent is related to the fixed nodes numberδand the edge-adding number m,but also the clustering coefficient can be tuned byδand m.The difference is thatδhas a great influence on the clustering coefficient,and m has small effect on it,which makes it can be tuned in a big interval.Further studies show that the synchronizability of SLSF network will be stronger with the number of fixed nodes increasing.