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Navigability of temporal networks in hyperbolic space

Information routing is one of the main tasks in many complex networks with a communication function. Maps produced by embedding the networks in hyperbolic space can assist this task enabling the implementation of efficient navigation strategies. However, only static maps have been considered so far,...

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Detalles Bibliográficos
Autores principales: Ortiz, Elisenda, Starnini, Michele, Serrano, M. Ángeles
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2017
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5678097/
https://www.ncbi.nlm.nih.gov/pubmed/29118421
http://dx.doi.org/10.1038/s41598-017-15041-0
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author Ortiz, Elisenda
Starnini, Michele
Serrano, M. Ángeles
author_facet Ortiz, Elisenda
Starnini, Michele
Serrano, M. Ángeles
author_sort Ortiz, Elisenda
collection PubMed
description Information routing is one of the main tasks in many complex networks with a communication function. Maps produced by embedding the networks in hyperbolic space can assist this task enabling the implementation of efficient navigation strategies. However, only static maps have been considered so far, while navigation in more realistic situations, where the network structure may vary in time, remains largely unexplored. Here, we analyze the navigability of real networks by using greedy routing in hyperbolic space, where the nodes are subject to a stochastic activation-inactivation dynamics. We find that such dynamics enhances navigability with respect to the static case. Interestingly, there exists an optimal intermediate activation value, which ensures the best trade-off between the increase in the number of successful paths and a limited growth of their length. Contrary to expectations, the enhanced navigability is robust even when the most connected nodes inactivate with very high probability. Finally, our results indicate that some real networks are ultranavigable and remain highly navigable even if the network structure is extremely unsteady. These findings have important implications for the design and evaluation of efficient routing protocols that account for the temporal nature of real complex networks.
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spelling pubmed-56780972017-11-17 Navigability of temporal networks in hyperbolic space Ortiz, Elisenda Starnini, Michele Serrano, M. Ángeles Sci Rep Article Information routing is one of the main tasks in many complex networks with a communication function. Maps produced by embedding the networks in hyperbolic space can assist this task enabling the implementation of efficient navigation strategies. However, only static maps have been considered so far, while navigation in more realistic situations, where the network structure may vary in time, remains largely unexplored. Here, we analyze the navigability of real networks by using greedy routing in hyperbolic space, where the nodes are subject to a stochastic activation-inactivation dynamics. We find that such dynamics enhances navigability with respect to the static case. Interestingly, there exists an optimal intermediate activation value, which ensures the best trade-off between the increase in the number of successful paths and a limited growth of their length. Contrary to expectations, the enhanced navigability is robust even when the most connected nodes inactivate with very high probability. Finally, our results indicate that some real networks are ultranavigable and remain highly navigable even if the network structure is extremely unsteady. These findings have important implications for the design and evaluation of efficient routing protocols that account for the temporal nature of real complex networks. Nature Publishing Group UK 2017-11-08 /pmc/articles/PMC5678097/ /pubmed/29118421 http://dx.doi.org/10.1038/s41598-017-15041-0 Text en © The Author(s) 2017 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Article
Ortiz, Elisenda
Starnini, Michele
Serrano, M. Ángeles
Navigability of temporal networks in hyperbolic space
title Navigability of temporal networks in hyperbolic space
title_full Navigability of temporal networks in hyperbolic space
title_fullStr Navigability of temporal networks in hyperbolic space
title_full_unstemmed Navigability of temporal networks in hyperbolic space
title_short Navigability of temporal networks in hyperbolic space
title_sort navigability of temporal networks in hyperbolic space
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5678097/
https://www.ncbi.nlm.nih.gov/pubmed/29118421
http://dx.doi.org/10.1038/s41598-017-15041-0
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