Assortative mixing in spatially-extended networks

Vladimir V. Makarov, Daniil V. Kirsanov, Nikita S. Frolov, Vladimir A. Maksimenko, Xuelong Li, Zhen Wang, Alexander E. Hramov, Stefano Boccaletti

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7 引用 (Scopus)

摘要

We focus on spatially-extended networks during their transition from short-range connectivities to a scale-free structure expressed by heavy-tailed degree-distribution. In particular, a model is introduced for the generation of such graphs, which combines spatial growth and preferential attachment. In this model the transition to heterogeneous structures is always accompanied by a change in the graph’s degree-degree correlation properties: while high assortativity levels characterize the dominance of short distance couplings, long-range connectivity structures are associated with small amounts of disassortativity. Our results allow to infer that a disassortative mixing is essential for establishing long-range links. We discuss also how our findings are consistent with recent experimental studies of 2-dimensional neuronal cultures.

源语言英语
文章编号13825
期刊Scientific Reports
8
1
DOI
出版状态已出版 - 1 12月 2018

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