Assortative mixing in spatially-extended networks

Abstract 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 att...

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Autores principales:	Vladimir V. Makarov, Daniil V. Kirsanov, Nikita S. Frolov, Vladimir A. Maksimenko, Xuelong Li, Zhen Wang, Alexander E. Hramov, Stefano Boccaletti
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2018
Materias:	Assortative Mixing Degree-degree Correlations Degree Distribution Short-distance Couplings Assortment Attributes Medicine R Science Q
Acceso en línea:	https://doaj.org/article/fe8e6fcbcbec41e39a30bed642d73fd8
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id	oai:doaj.org-article:fe8e6fcbcbec41e39a30bed642d73fd8
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spelling	oai:doaj.org-article:fe8e6fcbcbec41e39a30bed642d73fd82021-12-02T15:08:17ZAssortative mixing in spatially-extended networks10.1038/s41598-018-32160-42045-2322https://doaj.org/article/fe8e6fcbcbec41e39a30bed642d73fd82018-09-01T00:00:00Zhttps://doi.org/10.1038/s41598-018-32160-4https://doaj.org/toc/2045-2322Abstract 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.Vladimir V. MakarovDaniil V. KirsanovNikita S. FrolovVladimir A. MaksimenkoXuelong LiZhen WangAlexander E. HramovStefano BoccalettiNature PortfolioarticleAssortative MixingDegree-degree CorrelationsDegree DistributionShort-distance CouplingsAssortment AttributesMedicineRScienceQENScientific Reports, Vol 8, Iss 1, Pp 1-8 (2018)
institution	DOAJ
collection	DOAJ
language	EN
topic	Assortative Mixing Degree-degree Correlations Degree Distribution Short-distance Couplings Assortment Attributes Medicine R Science Q
spellingShingle	Assortative Mixing Degree-degree Correlations Degree Distribution Short-distance Couplings Assortment Attributes Medicine R Science Q Vladimir V. Makarov Daniil V. Kirsanov Nikita S. Frolov Vladimir A. Maksimenko Xuelong Li Zhen Wang Alexander E. Hramov Stefano Boccaletti Assortative mixing in spatially-extended networks
description	Abstract 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.
format	article
author	Vladimir V. Makarov Daniil V. Kirsanov Nikita S. Frolov Vladimir A. Maksimenko Xuelong Li Zhen Wang Alexander E. Hramov Stefano Boccaletti
author_facet	Vladimir V. Makarov Daniil V. Kirsanov Nikita S. Frolov Vladimir A. Maksimenko Xuelong Li Zhen Wang Alexander E. Hramov Stefano Boccaletti
author_sort	Vladimir V. Makarov
title	Assortative mixing in spatially-extended networks
title_short	Assortative mixing in spatially-extended networks
title_full	Assortative mixing in spatially-extended networks
title_fullStr	Assortative mixing in spatially-extended networks
title_full_unstemmed	Assortative mixing in spatially-extended networks
title_sort	assortative mixing in spatially-extended networks
publisher	Nature Portfolio
publishDate	2018
url	https://doaj.org/article/fe8e6fcbcbec41e39a30bed642d73fd8
work_keys_str_mv	AT vladimirvmakarov assortativemixinginspatiallyextendednetworks AT daniilvkirsanov assortativemixinginspatiallyextendednetworks AT nikitasfrolov assortativemixinginspatiallyextendednetworks AT vladimiramaksimenko assortativemixinginspatiallyextendednetworks AT xuelongli assortativemixinginspatiallyextendednetworks AT zhenwang assortativemixinginspatiallyextendednetworks AT alexanderehramov assortativemixinginspatiallyextendednetworks AT stefanoboccaletti assortativemixinginspatiallyextendednetworks
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Assortative mixing in spatially-extended networks

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