密排空间网络中的分类混合
Assortative Mixing in Close-Packed Spatial Networks
摘要：
最近邻度相关度依赖的一般关系。局部聚类度的依赖性被证明是唯一的决定性因素，在网络中的竞争性与竞争性混合。研究了空间原子/分子体系的网络特征，如自组织残基网络、嵌段共聚物、原子团簇和高分子熔体等。给出了网络统计特性的分布。对于这些密集包装的系统，在网络建设中的非线性混合被发现适用，并推导出一个简单的线性依赖的条件。总之，这些测量（i）揭示了原子/分子的紧密堆积簇所共有的模式，（ii）识别不同系统中突出的表面效应的类型，以及（iii）将可用于对具有不同类型相关性的网络进行分类的指纹相关联。
英文摘要：
A general relation for the dependence of nearest neighbor degree correlations on degree is derived. Dependence of local clustering on degree is shown to be the sole determining factor of assortative versus disassortative mixing in networks. The characteristics of networks derived from spatial atomic/molecular systems exemplified by self-organized residue networks and block copolymers, atomic clusters and well-compressed polymeric melts are studied. Distributions of statistical properties of the networks are presented. For these densely-packed systems, assortative mixing in the network construction is found to apply, and conditions are derived for a simple linear dependence. Together, these measures (i) reveal patterns that are common to close-packed clusters of atoms/molecules, (ii) identify the type of surface effects prominent in different systems, and (iii) associate fingerprints that may be used to classify networks with varying types of correlations.
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