Impact of boundaries on fully connected random geometric networks
Impact of boundaries on fully connected random geometric networks
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边界对全连接随机几何网络的影响
DOI：
10.1103/physreve.85.011138
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发表时间：
2011
期刊：
影响因子：
--
通讯作者：
Orestis Georgiou
中科院分区：
文献类型：
--
作者：
J. Coon;C. Dettmann;Orestis Georgiou
许多复杂网络呈现出一种涉及宏观连通分量的渗流转变，其普遍特征在很大程度上与微观模型和宏观区域几何形状无关。相比之下，我们表明向完全连通性的转变受到边界细节的强烈影响，但观察到一种不同形式的普遍性。我们的方法能正确区分具有相同主体贡献的区域中网络的连通性特性。它还有助于系统设计，以促进或避免任意维度下不同几何形状的完全连通性。
Many complex networks exhibit a percolation transition involving a macroscopic connected component, with universal features largely independent of the microscopic model and the macroscopic domain geometry. In contrast, we show that the transition to full connectivity is strongly influenced by details of the boundary, but observe an alternative form of universality. Our approach correctly distinguishes connectivity properties of networks in domains with equal bulk contributions. It also facilitates system design to promote or avoid full connectivity for diverse geometries in arbitrary dimension.