Escaping the avalanche collapse in self-similar multiplexes
We deduce and discuss the implications of self-similarity for the robustness to failure of multiplexes, depending on interlayer degree correlations. First, we define self-similarity of multiplexes and we illustrate the concept in practice using the configuration model ensemble. Circumscribing robust...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2015-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/17/5/053033 |
| _version_ | 1797751228728344576 |
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| author | M Ángeles Serrano Ľuboš Buzna Marián Boguñá |
| author_facet | M Ángeles Serrano Ľuboš Buzna Marián Boguñá |
| author_sort | M Ángeles Serrano |
| collection | DOAJ |
| description | We deduce and discuss the implications of self-similarity for the robustness to failure of multiplexes, depending on interlayer degree correlations. First, we define self-similarity of multiplexes and we illustrate the concept in practice using the configuration model ensemble. Circumscribing robustness to survival of the mutually percolated state, we find a new explanation based on self-similarity both for the observed fragility of interconnected systems of networks and for their robustness to failure when interlayer degree correlations are present. Extending the self-similarity arguments, we show that interlayer degree correlations can change completely the global connectivity properties of self-similar multiplexes, so that they can even recover a zero percolation threshold and a continuous transition in the thermodynamic limit, qualitatively exhibiting thus the ordinary percolation properties of noninteracting networks. We confirm these results with numerical simulations. |
| first_indexed | 2024-03-12T16:44:30Z |
| format | Article |
| id | doaj.art-643f3c005d004071a04ae338b64373f0 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:44:30Z |
| publishDate | 2015-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-643f3c005d004071a04ae338b64373f02023-08-08T14:16:57ZengIOP PublishingNew Journal of Physics1367-26302015-01-0117505303310.1088/1367-2630/17/5/053033Escaping the avalanche collapse in self-similar multiplexesM Ángeles Serrano0Ľuboš Buzna1Marián Boguñá2Departament de Física Fonamental , Universitat de Barcelona, Martí i Franquès 1, E-08028 Barcelona, SpainUniversity of Žilina , Univerzitná 8215/1, 01026 Žilina, SlovakiaDepartament de Física Fonamental , Universitat de Barcelona, Martí i Franquès 1, E-08028 Barcelona, SpainWe deduce and discuss the implications of self-similarity for the robustness to failure of multiplexes, depending on interlayer degree correlations. First, we define self-similarity of multiplexes and we illustrate the concept in practice using the configuration model ensemble. Circumscribing robustness to survival of the mutually percolated state, we find a new explanation based on self-similarity both for the observed fragility of interconnected systems of networks and for their robustness to failure when interlayer degree correlations are present. Extending the self-similarity arguments, we show that interlayer degree correlations can change completely the global connectivity properties of self-similar multiplexes, so that they can even recover a zero percolation threshold and a continuous transition in the thermodynamic limit, qualitatively exhibiting thus the ordinary percolation properties of noninteracting networks. We confirm these results with numerical simulations.https://doi.org/10.1088/1367-2630/17/5/053033self-similar scale-free multiplexesinterlayer degree correlationspercolation properties |
| spellingShingle | M Ángeles Serrano Ľuboš Buzna Marián Boguñá Escaping the avalanche collapse in self-similar multiplexes New Journal of Physics self-similar scale-free multiplexes interlayer degree correlations percolation properties |
| title | Escaping the avalanche collapse in self-similar multiplexes |
| title_full | Escaping the avalanche collapse in self-similar multiplexes |
| title_fullStr | Escaping the avalanche collapse in self-similar multiplexes |
| title_full_unstemmed | Escaping the avalanche collapse in self-similar multiplexes |
| title_short | Escaping the avalanche collapse in self-similar multiplexes |
| title_sort | escaping the avalanche collapse in self similar multiplexes |
| topic | self-similar scale-free multiplexes interlayer degree correlations percolation properties |
| url | https://doi.org/10.1088/1367-2630/17/5/053033 |
| work_keys_str_mv | AT mangelesserrano escapingtheavalanchecollapseinselfsimilarmultiplexes AT lubosbuzna escapingtheavalanchecollapseinselfsimilarmultiplexes AT marianboguna escapingtheavalanchecollapseinselfsimilarmultiplexes |