The Weak Core and the Structure of Elites in Social Multiplex Networks
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Recent approaches on elite identification highlighted the important role of intermediaries, by means of a new definition of the core of a multiplex network, the generalised K-core. This newly introduced core subgraph crucially incorporates those individuals who, in spite of not being very connected, maintain the cohesiveness and plasticity of the core. Interestingly, it has been shown that the performance on elite identification of the generalised K-core is sensibly better that the standard K-core. Here we go further: Over a multiplex social system, we isolate the community structure of the generalised K-core and we identify the weakly connected regions acting as bridges between core communities, ensuring the cohesiveness and connectivity of the core region. This gluing region is the Weak core of the multiplex system. We test the suitability of our method on data from the society of 420,000 players of the Massive Multiplayer Online Game Pardus. Results show that the generalised K-core displays a clearly identifiable community structure and that the weak core gluing the core communities shows very low connectivity and clustering. Nonetheless, despite its low connectivity, the weak core forms a unique, cohesive structure. In addition, we find that members populating the weak core have the best scores on social performance, when compared to the other elements of the generalised K-core. The weak core provides a new angle on understanding the social structure of elites, highlighting those subgroups of individuals whose role is to glue different communities in the core.
KeywordsWeak Core Multiplex Networks (MPN) Multiplex Social System Coral Communities Core Subgraph
This work was supported by the Austrian Science Fund FWF under KPP23378FW, the EU LASAGNE project, no. 318132 and the EU MULTIPLEX project, no. 318132.
- 1.Mills, C.W.: The Power Elite. Oxford University Press, Oxford (1956)Google Scholar
- 3.Keller, S.: Beyond the Ruling Class. Strategic Elites in Modern Society. Random House, New York (1963)Google Scholar
- 4.William, F.G.: Who Rules America? McGraw-Hill, New York (1967)Google Scholar
- 5.Bottomore, T.: Elites and Society, 2nd edn. Routledge, London (1993)Google Scholar
- 13.Bollobás, B.: The evolution of sparse graphs. In: Graph Theory and Combinatorics, Proc Cambridge Combinatorial Conf in Honor to Paul Erdös, pp. 35–57. Academic, London (1984)Google Scholar
- 14.Dorogovtsev, S.N., Goltsev, A.V., Mendes, J.F.F.: k-core organization of complex networks. Phys. Rev. Lett. 96, 040601 (2006)Google Scholar
- 16.Castronova, E.: Synthetic Worlds: The Business and Culture of Online Games. University of Chicago Press, Chicago (2005)Google Scholar
- 30.Corominas-Murtra, B., Valverde, S., Rodríguez-Caso, C., Solé, R.V.: K-scaffold subgraphs of complex networks. EPL (Europhys. Lett.) 77, 18004 (2007)Google Scholar