Networks with multiple kinds of relations
In network theory , multidimensional networks , a special type of multilayer network , are networks with multiple kinds of relations.[ 1]
[ 2] [ 3] [ 4] [ 5] [ 6] [ 7] Increasingly sophisticated attempts to model real-world systems as multidimensional networks have yielded valuable insight in the fields of social network analysis ,[ 3] [ 4] [ 8] [ 9] [ 10] [ 11] [ 12] economics, urban and international transport ,[ 13] [ 14] [ 15] ecology ,[ 16] [ 17] [ 18] [ 19] psychology,[ 20] [ 21] medicine, biology,[ 22] commerce, climatology, physics,[ 23] computational neuroscience ,[ 24] [ 25] [ 26] [ 27] operations management , and finance.
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^ Battiston, Federico; Iacovacci, Jacopo; Nicosia, Vincenzo; Bianconi, Ginestra ; Latora, Vito (2016-01-27). "Emergence of Multiplex Communities in Collaboration Networks" . PLOS ONE . 11 (1): e0147451. arXiv :1506.01280 . Bibcode :2016PLoSO..1147451B . doi :10.1371/journal.pone.0147451 . ISSN 1932-6203 . PMC 4731389 . PMID 26815700 .
^ Rossi, Luca; Dickison, Mark E.; Magnani, Matteo (July 18, 2016). Multilayer Social Networks (1st ed.). Cambridge University Press.
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^ Gallotti, R.; Barthelemy, M. (2014). "Anatomy and efficiency of urban multimodal mobility" . Scientific Reports . 4 : 6911. arXiv :1411.1274 . Bibcode :2014NatSR...4.6911G . doi :10.1038/srep06911 . PMC 4220282 . PMID 25371238 .
^ De Domenico, M.; Sole-Ribalta, A.; Gomez, S.; Arenas, A. (2014). "Navigability of interconnected networks under random failures" . PNAS . 111 (23): 8351– 8356. Bibcode :2014PNAS..111.8351D . doi :10.1073/pnas.1318469111 . PMC 4060702 . PMID 24912174 .
^ Stella, M.; Andreazzi, C.S.; Selakovic, S.; Goudarzi, A.; Antonioni, A. (2016). "Parasite spreading in spatial ecological multiplex networks". Journal of Complex Networks . 5 (3): 486– 511. arXiv :1602.06785 . doi :10.1093/comnet/cnw028 . S2CID 14398574 .
^ Pilosof, S.; Porter, M.A.; Pascual, M.; Kefi, S. (2017). "The Multilayer Nature of Ecological Networks". Nature Ecology & Evolution . 1 (4): 0101. arXiv :1511.04453 . Bibcode :2017NatEE...1..101P . doi :10.1038/s41559-017-0101 . PMID 28812678 . S2CID 11387365 .
^ Timóteo, S.; Correia, M.; Rodríguez-Echeverría, S.; Freitas, H.; Heleno, R. (2018). "Multilayer networks reveal the spatial structure of seed-dispersal interactions across the Great Rift landscapes" . Nature Communications . 9 (1): 140. Bibcode :2018NatCo...9..140T . doi :10.1038/s41467-017-02658-y . PMC 5762785 . PMID 29321529 .
^ Costa, J.M.; Ramos, J.A.; Timóteo, S.; da Silva, L.P.; Ceia, R.C.; Heleno, R. (2018). "Species activity promote the stability of fruit-frugivore interactions across a five-year multilayer network". bioRxiv 10.1101/421941 .
^ Fiori, K. L.; Smith, J; Antonucci, T. C. (2007). "Social network types among older adults: A multidimensional approach" . The Journals of Gerontology Series B: Psychological Sciences and Social Sciences . 62 (6): P322–30. doi :10.1093/geronb/62.6.p322 . PMID 18079416 .
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^ Timme, N.; Ito, S.; Myroshnychenko, M.; Yeh, F.C.; Hiolski, E.; Hottowy, P.; Beggs, J.M. (2014). "Multiplex Networks of Cortical and Hippocampal Neurons Revealed at Different Timescales" . PLOS ONE . 9 (12): e115764. Bibcode :2014PLoSO...9k5764T . doi :10.1371/journal.pone.0115764 . PMC 4275261 . PMID 25536059 .
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