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Assortative mixing in spatially-extended networks
Makarov, Vladimir V.1; Kirsanov, Daniil V.1; Frolov, Nikita S.1,2; Maksimenko, Vladimir A.1; Li, Xuelong3; Wang, Zhen4,5; Hramov, Alexander E.1,2; Boccaletti, Stefano6,7
Contribution Rank3
AbstractWe 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.
Indexed BySCI
WOS IDWOS:000444571200033
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Document Type期刊论文
Corresponding AuthorHramov, Alexander E.
Affiliation1.Yurij Gagarin State Tech Univ Saratov, REC Artificial Intelligence Syst & Neurotechnol, Polytech Skaja Str 77, Saratov 410054, Russia
2.Saratov NG Chernyshevskii State Univ, Fac Nonlinear Proc, Astrakhanskaja Str 83, Saratov 410012, Russia
3.Chinese Acad Sci, Xian Inst Opt & Precis Mech, Xian 710119, Shaanxi, Peoples R China
4.Northwestern Polytech Univ, Sch Mech Engn, Xian 710072, Shaanxi, Peoples R China
5.Northwestern Polytech Univ, Ctr OPT IMagery Anal & Learning OPTIMAL, Xian 710072, Shaanxi, Peoples R China
6.CNR, Inst Complex Syst, Via Madonna del Piano 10, I-50019 Florence, Italy
7.Northwestern Polytech Univ, Unmanned Syst Res Inst, Xian 710072, Shaanxi, Peoples R China
Recommended Citation
GB/T 7714
Makarov, Vladimir V.,Kirsanov, Daniil V.,Frolov, Nikita S.,et al. Assortative mixing in spatially-extended networks[J]. SCIENTIFIC REPORTS,2018,8.
APA Makarov, Vladimir V..,Kirsanov, Daniil V..,Frolov, Nikita S..,Maksimenko, Vladimir A..,Li, Xuelong.,...&Boccaletti, Stefano.(2018).Assortative mixing in spatially-extended networks.SCIENTIFIC REPORTS,8.
MLA Makarov, Vladimir V.,et al."Assortative mixing in spatially-extended networks".SCIENTIFIC REPORTS 8(2018).
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