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Research on clustering coefficient in RGG model of wireless Ad Hoc network

Abstract

在影响无线网络同步的因素中,网络拓扑结构逐渐引起人们的关注。通过研究rgg模型中网络聚类系数和网络次大特征值之间的关系,来探索聚类系数对网络收敛性能的影响程度,并希望从有边界效应和无边界效应两种情况入手对其进行研究。通过仿真实验发现在无边界情况下的聚类系数是一个常数,与其他因素无关,有边界情况下其值与环境参数相关。从理论上推导了无边界聚类系数的理论值,并给出了有边界情况下的推导思路。In the factors that affect wireless network synchronization,the network topology structure gradually draws attention of researchers.By studying the relationship between network clustering coefficient and the secondary largest eigenvalue in RGG model,the effect of network clustering coefficient on network convergence performance was explored under two conditions with and without boundary effect.Through the simulation,it is found that the clustering coefficient under the borderless condition is a constant,which is not related to other factors,and the clustering coefficient with boundary effect is related to the environment parameter.The theoretical value of clustering coefficient without boundary effect is derived theoretically.The thought of derivation with boundary effect is offered.国家自然科学基金(61201196); 教育部博士点基金(20100121120020); 福建省自然科学基金(2012J05127

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