Node-layer duality in networked systems
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866916412923052032 |
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| author | Presigny, Charley Corsi, Marie-Constance Fallani, Fabrizio De Vico |
| author_facet | Presigny, Charley Corsi, Marie-Constance Fallani, Fabrizio De Vico |
| contents | Real-world networks typically exhibit several aspects, or layers, of interactions among their nodes. By permuting the role of the nodes and the layers, we establish a new criterion to construct the dual of a network. This approach allows to examine information from either a node-centric or layer-centric viewpoint. Through rigorous analytical methods and extensive simulations, we demonstrate that nodewise and layerwise connectivity measure different but related aspects of the same system. Leveraging node-layer duality provides complementary insights, enabling a deeper comprehension of diverse networks across social science, technology and biology. Taken together, these findings reveal previously unappreciated features of complex systems and provide a fresh tool for delving into their structure and dynamics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_12136 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Node-layer duality in networked systems Presigny, Charley Corsi, Marie-Constance Fallani, Fabrizio De Vico Physics and Society Neurons and Cognition Real-world networks typically exhibit several aspects, or layers, of interactions among their nodes. By permuting the role of the nodes and the layers, we establish a new criterion to construct the dual of a network. This approach allows to examine information from either a node-centric or layer-centric viewpoint. Through rigorous analytical methods and extensive simulations, we demonstrate that nodewise and layerwise connectivity measure different but related aspects of the same system. Leveraging node-layer duality provides complementary insights, enabling a deeper comprehension of diverse networks across social science, technology and biology. Taken together, these findings reveal previously unappreciated features of complex systems and provide a fresh tool for delving into their structure and dynamics. |
| title | Node-layer duality in networked systems |
| topic | Physics and Society Neurons and Cognition |
| url | https://arxiv.org/abs/2306.12136 |