Cluster-based topological features of nodes in a multiplex network—from a network of networks perspective
In the gathered multiplex systems, nodes inherit a part of their original system’s topological features, as in the world economic system, national policies and resource distribution bring industry advantages and resource advantages to the domestic industry. Although they represent one of the importa...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2019-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ab461c |
| _version_ | 1797750391871373312 |
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| author | Feng An Xiangyun Gao Nairong Liu Ze Wang Yang Li Jianxi Gao H Eugene Stanley |
| author_facet | Feng An Xiangyun Gao Nairong Liu Ze Wang Yang Li Jianxi Gao H Eugene Stanley |
| author_sort | Feng An |
| collection | DOAJ |
| description | In the gathered multiplex systems, nodes inherit a part of their original system’s topological features, as in the world economic system, national policies and resource distribution bring industry advantages and resource advantages to the domestic industry. Although they represent one of the important original topological features of nodes, the inherited topological features of nodes have not received sufficient attention and have hardly been analyzed by existing network models. In our research, we defined the inherited topological features of nodes as ‘cluster-based topological features. To accurately calculate the cluster-based topological features of nodes in multiplex networks, we first provide a network model to summarize the multiplex networks into a calculable network of networks (NoN). Based on our network model, we propose a series of algorithms for calculating industries’ cluster-based topological features. Our calculating process contains 2 steps: ‘abstracting’ the NoN into one-layer calculable network; ‘inheriting’ subnetworks’ topological features into the inner nodes. Our network model and calculation algorithms are applied in a series of theoretical and empirical multiplex networks. The results not only confirm the realizability of our model but also produce several interesting findings, the most important of which is that some unremarkable nodes in multiplex network may have a very high contributory value from NoN perspective. |
| first_indexed | 2024-03-12T16:33:05Z |
| format | Article |
| id | doaj.art-0b87c8c1b5414b66a51c328a219154b9 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:33:05Z |
| publishDate | 2019-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-0b87c8c1b5414b66a51c328a219154b92023-08-08T15:23:59ZengIOP PublishingNew Journal of Physics1367-26302019-01-01211010301410.1088/1367-2630/ab461cCluster-based topological features of nodes in a multiplex network—from a network of networks perspectiveFeng An0Xiangyun Gao1https://orcid.org/0000-0003-2101-1609Nairong Liu2Ze Wang3Yang Li4Jianxi Gao5H Eugene Stanley6School of Economics and Management, China University of Geosciences , Beijing 100083, People’s Republic of China; Key Laboratory of Carrying Capacity Assessment for Resource and Environment, Ministry of Natural Resources, Beijing 100083, People’s Republic of China; Department of Computer Science, Rensselaer Polytechnic Institute, Troy, NY 12180, United States of AmericaSchool of Economics and Management, China University of Geosciences , Beijing 100083, People’s Republic of China; Key Laboratory of Carrying Capacity Assessment for Resource and Environment, Ministry of Natural Resources, Beijing 100083, People’s Republic of ChinaSchool of Economics and Management, China University of Geosciences , Beijing 100083, People’s Republic of China; Key Laboratory of Carrying Capacity Assessment for Resource and Environment, Ministry of Natural Resources, Beijing 100083, People’s Republic of ChinaSchool of Economics and Management, China University of Geosciences , Beijing 100083, People’s Republic of China; Key Laboratory of Carrying Capacity Assessment for Resource and Environment, Ministry of Natural Resources, Beijing 100083, People’s Republic of ChinaSchool of Economics and Management, China University of Geosciences , Beijing 100083, People’s Republic of China; Key Laboratory of Carrying Capacity Assessment for Resource and Environment, Ministry of Natural Resources, Beijing 100083, People’s Republic of ChinaDepartment of Computer Science, Rensselaer Polytechnic Institute, Troy, NY 12180, United States of America; Network Science and Technology Center, Rensselaer Polytechnic Institute, Troy, NY 12180, United States of AmericaCenter for Polymer Studies and Department of Physics, Boston University , Boston, MA 02215, United States of AmericaIn the gathered multiplex systems, nodes inherit a part of their original system’s topological features, as in the world economic system, national policies and resource distribution bring industry advantages and resource advantages to the domestic industry. Although they represent one of the important original topological features of nodes, the inherited topological features of nodes have not received sufficient attention and have hardly been analyzed by existing network models. In our research, we defined the inherited topological features of nodes as ‘cluster-based topological features. To accurately calculate the cluster-based topological features of nodes in multiplex networks, we first provide a network model to summarize the multiplex networks into a calculable network of networks (NoN). Based on our network model, we propose a series of algorithms for calculating industries’ cluster-based topological features. Our calculating process contains 2 steps: ‘abstracting’ the NoN into one-layer calculable network; ‘inheriting’ subnetworks’ topological features into the inner nodes. Our network model and calculation algorithms are applied in a series of theoretical and empirical multiplex networks. The results not only confirm the realizability of our model but also produce several interesting findings, the most important of which is that some unremarkable nodes in multiplex network may have a very high contributory value from NoN perspective.https://doi.org/10.1088/1367-2630/ab461ccomplex networkmultiplex networknetwork of networks |
| spellingShingle | Feng An Xiangyun Gao Nairong Liu Ze Wang Yang Li Jianxi Gao H Eugene Stanley Cluster-based topological features of nodes in a multiplex network—from a network of networks perspective New Journal of Physics complex network multiplex network network of networks |
| title | Cluster-based topological features of nodes in a multiplex network—from a network of networks perspective |
| title_full | Cluster-based topological features of nodes in a multiplex network—from a network of networks perspective |
| title_fullStr | Cluster-based topological features of nodes in a multiplex network—from a network of networks perspective |
| title_full_unstemmed | Cluster-based topological features of nodes in a multiplex network—from a network of networks perspective |
| title_short | Cluster-based topological features of nodes in a multiplex network—from a network of networks perspective |
| title_sort | cluster based topological features of nodes in a multiplex network from a network of networks perspective |
| topic | complex network multiplex network network of networks |
| url | https://doi.org/10.1088/1367-2630/ab461c |
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