The properties of a wide range of two-dimensional network materials are investigated by developing a generalised network theory. The methods developed are shown to be applicable to a wide range of systems generated from both computation and experiment; incorporating atomistic materials, foams, fullerenes, colloidal monolayers and geopolitical regions. The ring structure in physical networks is described in terms of the node degree distribution and the assortativity. These quantities are linked to previous empirical measures such as ’s law and the Aboav--Weaire law. The effect on these network properties is explored by systematically changing the coordination environments, topologies and underlying potential model of the physical system.

中文翻译：

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物理二维系统的广义网络理论

通过发展广义网络理论，研究了各种二维网络材料的特性。结果表明，所开发的方法适用于通过计算和实验生成的各种系统。结合了原子性材料，泡沫，富勒烯，胶体单层和地缘政治区域。物理网络中的环结构是根据节点度分布和分类性来描述的。这些数量与以前的经验测度相关，例如的定律和Aboav-Weaire定律。通过系统地更改物理系统的协调环境，拓扑和潜在模型来探索对这些网络属性的影响。