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  • 标题:Assortative mixing in spatially-extended networks
  • 本地全文:下载
  • 作者:Vladimir V. Makarov ; Daniil V. Kirsanov ; Nikita S. Frolov
  • 期刊名称:Scientific Reports
  • 电子版ISSN:2045-2322
  • 出版年度:2018
  • 卷号:8
  • 期号:1
  • 页码:13825
  • DOI:10.1038/s41598-018-32160-4
  • 语种:English
  • 出版社:Springer Nature
  • 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.
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