COOPERATION, CONFLICT AND HIGHER-ORDER STRUCTURES OF SOCIAL NETWORKS

Slobodan Maletić (), Danijela Horak () and Milan Rajković ()
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Slobodan Maletić: Institute of Nuclear Sciences Vinča, University of Belgrade, P. O. Box 522, 11001 Belgrade, Serbia
Danijela Horak: Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22, Leipzig D-04103, Germany
Milan Rajković: Institute of Nuclear Sciences Vinča, University of Belgrade, P. O. Box 522, 11001 Belgrade, Serbia

Advances in Complex Systems (ACS), 2012, vol. 15, issue supp0, 1-29

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 Hugo's novel Les Miserables.

Keywords: Social networks; simplicial complexes; combinatorial Laplacian (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (3)

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DOI: 10.1142/S0219525912500555

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