基于彭罗斯拼图的部分随机复杂网络的统计性质
发布时间：2019-06-21 00:53
【摘要】：为扩展复杂网络模型并探讨网络的新特征,研究了随机复杂网络的统计性质.在以两种菱形为结构单元的彭罗斯拼图的基础上,增加顶点的随机连接,其连接概率与顶点的类型有关,由此构造出部分随机的复杂网络.用解析和数值方法计算了网络的主要特征参数.结果表明:度分度、节点间平均距离和网络集群系数与一般随机网络接近,但具体变化规律有所不同.由此可见,准周期复杂网络既有一般网络的共性,也有更为丰富的其他特征.
[Abstract]:In order to extend the complex network model and discuss the new characteristics of the network, the statistical properties of stochastic complex networks are studied. On the basis of Penrose jigsaw puzzle with two kinds of rhomboids as structural elements, the random connection of vertices is increased, and the connection probability is related to the type of vertices, and a partially random complex network is constructed. The main characteristic parameters of the network are calculated by analytical and numerical methods. The results show that the degree, the average distance between nodes and the network cluster coefficient are close to those of the general random network, but the specific variation rules are different. Thus it can be seen that quasi-periodic complex networks not only have the commonness of general networks, but also have more abundant other characteristics.
【作者单位】： 华南理工大学物理与光电学院;
【基金】：国家自然科学基金资助项目(11674102)~~
【分类号】：O157.5
本文编号：2503660
[Abstract]:In order to extend the complex network model and discuss the new characteristics of the network, the statistical properties of stochastic complex networks are studied. On the basis of Penrose jigsaw puzzle with two kinds of rhomboids as structural elements, the random connection of vertices is increased, and the connection probability is related to the type of vertices, and a partially random complex network is constructed. The main characteristic parameters of the network are calculated by analytical and numerical methods. The results show that the degree, the average distance between nodes and the network cluster coefficient are close to those of the general random network, but the specific variation rules are different. Thus it can be seen that quasi-periodic complex networks not only have the commonness of general networks, but also have more abundant other characteristics.
【作者单位】： 华南理工大学物理与光电学院;
【基金】：国家自然科学基金资助项目(11674102)~~
【分类号】：O157.5
【相似文献】
相关硕士学位论文 前2条
1 彭本义;彭罗斯拼图的构型及变换性质[D];华南理工大学;2015年
2 彭彩霞;基于彭罗斯拼图的复杂网络的统计性质[D];华南理工大学;2016年
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