Cross-linked structure of network evolution
We study the temporal co-variation of network co-evolution via the cross-link structure of networks, for which we take advantage of the formalism of hypergraphs to map cross-link structures back to network nodes. We investigate two sets of temporal network data in detail. In a network of coupled non...
| Main Authors: | , , , |
|---|---|
| Format: | Journal article |
| Published: |
AIP Publishing
2014
|
| _version_ | 1797076189588750336 |
|---|---|
| author | Bassett, D Wymbs, N Porter, M Dawkins, M |
| author_facet | Bassett, D Wymbs, N Porter, M Dawkins, M |
| author_sort | Bassett, D |
| collection | OXFORD |
| description | We study the temporal co-variation of network co-evolution via the cross-link structure of networks, for which we take advantage of the formalism of hypergraphs to map cross-link structures back to network nodes. We investigate two sets of temporal network data in detail. In a network of coupled nonlinear oscillators, hyperedges that consist of network edges with temporally co-varying weights uncover the driving co-evolution patterns of edge weight dynamics both within and between oscillator communities. In the human brain, networks that represent temporal changes in brain activity during learning exhibit early co-evolution that then settles down with practice. Subsequent decreases in hyperedge size are consistent with emergence of an autonomous subgraph whose dynamics no longer depends on other parts of the network. Our results on real and synthetic networks give a poignant demonstration of the ability of cross-link structure to uncover unexpected co-evolution attributes in both real and synthetic dynamical systems. This, in turn, illustrates the utility of analyzing cross-links for investigating the structure of temporal networks. |
| first_indexed | 2024-03-07T00:00:36Z |
| format | Journal article |
| id | oxford-uuid:75ce0997-35e4-45d1-ae0e-54568f652dc8 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T00:00:36Z |
| publishDate | 2014 |
| publisher | AIP Publishing |
| record_format | dspace |
| spelling | oxford-uuid:75ce0997-35e4-45d1-ae0e-54568f652dc82022-03-26T20:11:39ZCross-linked structure of network evolutionJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:75ce0997-35e4-45d1-ae0e-54568f652dc8Mathematical Institute - ePrintsAIP Publishing2014Bassett, DWymbs, NPorter, MDawkins, MWe study the temporal co-variation of network co-evolution via the cross-link structure of networks, for which we take advantage of the formalism of hypergraphs to map cross-link structures back to network nodes. We investigate two sets of temporal network data in detail. In a network of coupled nonlinear oscillators, hyperedges that consist of network edges with temporally co-varying weights uncover the driving co-evolution patterns of edge weight dynamics both within and between oscillator communities. In the human brain, networks that represent temporal changes in brain activity during learning exhibit early co-evolution that then settles down with practice. Subsequent decreases in hyperedge size are consistent with emergence of an autonomous subgraph whose dynamics no longer depends on other parts of the network. Our results on real and synthetic networks give a poignant demonstration of the ability of cross-link structure to uncover unexpected co-evolution attributes in both real and synthetic dynamical systems. This, in turn, illustrates the utility of analyzing cross-links for investigating the structure of temporal networks. |
| spellingShingle | Bassett, D Wymbs, N Porter, M Dawkins, M Cross-linked structure of network evolution |
| title | Cross-linked structure of network evolution |
| title_full | Cross-linked structure of network evolution |
| title_fullStr | Cross-linked structure of network evolution |
| title_full_unstemmed | Cross-linked structure of network evolution |
| title_short | Cross-linked structure of network evolution |
| title_sort | cross linked structure of network evolution |
| work_keys_str_mv | AT bassettd crosslinkedstructureofnetworkevolution AT wymbsn crosslinkedstructureofnetworkevolution AT porterm crosslinkedstructureofnetworkevolution AT dawkinsm crosslinkedstructureofnetworkevolution |