Random walk centrality in interconnected multilayer networks
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2015
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| Soggetti: | |
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| _version_ | 1866910727440171008 |
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| author | Solé-Ribalta, Albert De Domenico, Manlio Gómez, Sergio Arenas, Alex |
| author_facet | Solé-Ribalta, Albert De Domenico, Manlio Gómez, Sergio Arenas, Alex |
| contents | Real-world complex systems exhibit multiple levels of relationships. In many cases they require to be modeled as interconnected multilayer networks, characterizing interactions of several types simultaneously. It is of crucial importance in many fields, from economics to biology and from urban planning to social sciences, to identify the most (or the less) influential nodes in a network using centrality measures. However, defining the centrality of actors in interconnected complex networks is not trivial. In this paper, we rely on the tensorial formalism recently proposed to characterize and investigate this kind of complex topologies, and extend two well known random walk centrality measures, the random walk betweenness and closeness centrality, to interconnected multilayer networks. For each of the measures we provide analytical expressions that completely agree with numerically results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1506_07165 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | Random walk centrality in interconnected multilayer networks Solé-Ribalta, Albert De Domenico, Manlio Gómez, Sergio Arenas, Alex Physics and Society Social and Information Networks Data Analysis, Statistics and Probability Real-world complex systems exhibit multiple levels of relationships. In many cases they require to be modeled as interconnected multilayer networks, characterizing interactions of several types simultaneously. It is of crucial importance in many fields, from economics to biology and from urban planning to social sciences, to identify the most (or the less) influential nodes in a network using centrality measures. However, defining the centrality of actors in interconnected complex networks is not trivial. In this paper, we rely on the tensorial formalism recently proposed to characterize and investigate this kind of complex topologies, and extend two well known random walk centrality measures, the random walk betweenness and closeness centrality, to interconnected multilayer networks. For each of the measures we provide analytical expressions that completely agree with numerically results. |
| title | Random walk centrality in interconnected multilayer networks |
| topic | Physics and Society Social and Information Networks Data Analysis, Statistics and Probability |
| url | https://arxiv.org/abs/1506.07165 |