Cooperation, Conflict and Higher-Order Structures of Social Networks
Апстракт
Simplicial complexes represent powerful models of complex networks and complex systems in general. We explore the properties of spectra of combinatorial Laplacian operator of simplicial complexes in the context of connectivity of cliques in the simplicial clique complex associated with social networks. The necessity of higher order spectral analysis is discussed and compared with results for ordinary graph spectra. Methods and results are applied using social network of the Zachary karate club and the network of characters from Victor Hugos novel Les Miserables.
Кључне речи:
Social networks / simplicial complexes / combinatorial LaplacianИзвор:
Advances in Complex Systems, 2012, 15Финансирање / пројекти:
- Напредне аналитичке, нумеричке и методе анализе примењене механике флуида и комплексних система (RS-MESTD-Basic Research (BR or ON)-174014)
- COST action [8010], International Max-Planck Research School Mathematics in the Sciences
DOI: 10.1142/S0219525912500555
ISSN: 0219-5259; 1793-6802
WoS: 000305286500007
Scopus: 2-s2.0-84862528558
Колекције
Институција/група
VinčaTY - JOUR AU - Maletić, Slobodan AU - Horak, Danijela AU - Rajković, Milan PY - 2012 UR - https://vinar.vin.bg.ac.rs/handle/123456789/4886 AB - Simplicial complexes represent powerful models of complex networks and complex systems in general. We explore the properties of spectra of combinatorial Laplacian operator of simplicial complexes in the context of connectivity of cliques in the simplicial clique complex associated with social networks. The necessity of higher order spectral analysis is discussed and compared with results for ordinary graph spectra. Methods and results are applied using social network of the Zachary karate club and the network of characters from Victor Hugos novel Les Miserables. T2 - Advances in Complex Systems T1 - Cooperation, Conflict and Higher-Order Structures of Social Networks VL - 15 DO - 10.1142/S0219525912500555 ER -
@article{ author = "Maletić, Slobodan and Horak, Danijela and Rajković, Milan", year = "2012", abstract = "Simplicial complexes represent powerful models of complex networks and complex systems in general. We explore the properties of spectra of combinatorial Laplacian operator of simplicial complexes in the context of connectivity of cliques in the simplicial clique complex associated with social networks. The necessity of higher order spectral analysis is discussed and compared with results for ordinary graph spectra. Methods and results are applied using social network of the Zachary karate club and the network of characters from Victor Hugos novel Les Miserables.", journal = "Advances in Complex Systems", title = "Cooperation, Conflict and Higher-Order Structures of Social Networks", volume = "15", doi = "10.1142/S0219525912500555" }
Maletić, S., Horak, D.,& Rajković, M.. (2012). Cooperation, Conflict and Higher-Order Structures of Social Networks. in Advances in Complex Systems, 15. https://doi.org/10.1142/S0219525912500555
Maletić S, Horak D, Rajković M. Cooperation, Conflict and Higher-Order Structures of Social Networks. in Advances in Complex Systems. 2012;15. doi:10.1142/S0219525912500555 .
Maletić, Slobodan, Horak, Danijela, Rajković, Milan, "Cooperation, Conflict and Higher-Order Structures of Social Networks" in Advances in Complex Systems, 15 (2012), https://doi.org/10.1142/S0219525912500555 . .