On the origins of hierarchy in complex networks
Hierarchy seems to pervade complexity in both living and artificial systems. Despite its relevance, no general theory that captures all features of hierarchy and its origins has been proposed yet. Here we present a formal approach resulting from the convergence of theoretical morphology and network theory that allows constructing a 3D morphospace of hierarchies and hence comparing the hierarchical organization of ecological, cellular, technological, and social networks. Embedded within large voids in the morphospace of all possible hierarchies, four major groups are identified. Two of them match the expected from random networks with similar connectivity, thus suggesting that nonadaptive factors are at work. Ecological and gene networks define the other two, indicating that their topological order is the result of functional constraints. These results are consistent with an exploration of the morphospace, using in silico evolved networks.
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National Academy of Sciences (U.S.)
2013-08-13
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Subjects: | Modularity, Evolution, |
Online Access: | http://hdl.handle.net/10261/115342 http://dx.doi.org/10.13039/501100006373 http://dx.doi.org/10.13039/501100004837 http://dx.doi.org/10.13039/501100002428 http://dx.doi.org/10.13039/100011419 |
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dig-ibe-es-10261-1153422021-11-22T12:47:24Z On the origins of hierarchy in complex networks Corominas-Murtra, Bernat Goñi, Joaquín Solé, Ricard V. Rodríguez-Caso, Carlos Fundación Botín Ministerio de Ciencia e Innovación (España) Austrian Science Fund Santa Fe Institute (US) Modularity Evolution Hierarchy seems to pervade complexity in both living and artificial systems. Despite its relevance, no general theory that captures all features of hierarchy and its origins has been proposed yet. Here we present a formal approach resulting from the convergence of theoretical morphology and network theory that allows constructing a 3D morphospace of hierarchies and hence comparing the hierarchical organization of ecological, cellular, technological, and social networks. Embedded within large voids in the morphospace of all possible hierarchies, four major groups are identified. Two of them match the expected from random networks with similar connectivity, thus suggesting that nonadaptive factors are at work. Ecological and gene networks define the other two, indicating that their topological order is the result of functional constraints. These results are consistent with an exploration of the morphospace, using in silico evolved networks. The Botín Foundation, the James McDonnell Foundation, Spanish Government Grant E-28-2012-0504681 (to J.G.), the Austrian Fonds zur Förderung der Wissenschaftlichen Forschung project “Quantifying socio-economic multiplex networks in a massive multiplayer online game.” KPP23378FW (to B.C.-M.), and the Santa Fe Institute supported this work. Peer Reviewed 2015-05-18T12:28:14Z 2015-05-18T12:28:14Z 2013-08-13 2015-05-18T12:28:14Z artículo http://purl.org/coar/resource_type/c_6501 doi: 10.1073/pnas.1300832110 issn: 0027-8424 e-issn: 1091-6490 Proceedings of the National Academy of Sciences 110(33): 13316–13321 (2013) http://hdl.handle.net/10261/115342 10.1073/pnas.1300832110 http://dx.doi.org/10.13039/501100006373 http://dx.doi.org/10.13039/501100004837 http://dx.doi.org/10.13039/501100002428 http://dx.doi.org/10.13039/100011419 23898177 http://dx.doi.org/10.1073/pnas.1300832110 Sí none National Academy of Sciences (U.S.) |
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Modularity Evolution Modularity Evolution Corominas-Murtra, Bernat Goñi, Joaquín Solé, Ricard V. Rodríguez-Caso, Carlos On the origins of hierarchy in complex networks |
description |
Hierarchy seems to pervade complexity in both living and artificial systems. Despite its relevance, no general theory that captures all features of hierarchy and its origins has been proposed yet. Here we present a formal approach resulting from the convergence of theoretical morphology and network theory that allows constructing a 3D morphospace of hierarchies and hence comparing the hierarchical organization of ecological, cellular, technological, and social networks. Embedded within large voids in the morphospace of all possible hierarchies, four major groups are identified. Two of them match the expected from random networks with similar connectivity, thus suggesting that nonadaptive factors are at work. Ecological and gene networks define the other two, indicating that their topological order is the result of functional constraints. These results are consistent with an exploration of the morphospace, using in silico evolved networks. |
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Fundación Botín |
author_facet |
Fundación Botín Corominas-Murtra, Bernat Goñi, Joaquín Solé, Ricard V. Rodríguez-Caso, Carlos |
format |
artículo |
topic_facet |
Modularity Evolution |
author |
Corominas-Murtra, Bernat Goñi, Joaquín Solé, Ricard V. Rodríguez-Caso, Carlos |
author_sort |
Corominas-Murtra, Bernat |
title |
On the origins of hierarchy in complex networks |
title_short |
On the origins of hierarchy in complex networks |
title_full |
On the origins of hierarchy in complex networks |
title_fullStr |
On the origins of hierarchy in complex networks |
title_full_unstemmed |
On the origins of hierarchy in complex networks |
title_sort |
on the origins of hierarchy in complex networks |
publisher |
National Academy of Sciences (U.S.) |
publishDate |
2013-08-13 |
url |
http://hdl.handle.net/10261/115342 http://dx.doi.org/10.13039/501100006373 http://dx.doi.org/10.13039/501100004837 http://dx.doi.org/10.13039/501100002428 http://dx.doi.org/10.13039/100011419 |
work_keys_str_mv |
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