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We present a deterministic model for online social networks OSNs based on transitivity and local knowledge in social interactions. The ILT model provably satisfies a number of both local and global properties that have been observed in OSNs and other real-world complex networks, such as a densification power law, decreasing average distance, and higher clustering than in random graphs with the same average degree. Experimental studies of social networks demonstrate poor expansion properties as a consequence of the existence of communities with low numbers of intercommunity edges.

Bounds on the spectral gap for both the adjacency and normalized Laplacian matrices are proved for graphs arising from the ILT model indicating such bad expansion properties. A randomized version of the ILT model is presented that exhibits a tunable densification power-law exponent and maintains several properties of the deterministic model.

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Bonato , Hadi , Horn , Prałat , Wang : Models of Online Social Networks

In this context, our established know-how in the field of Social Network Analysis, User Modeling, Predictive Modeling and Social System Design and Development can be applied to create a novel knowledge environment for the user, in which information is not only socially exchanged but also automatically delivered to the relevant persons. The issue of information quality is particularly important, especially in terms of web-based sources used for decision-making.

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In this regard, we are conducting research within a FP7 Marie Curie IRSES project that brings together international experts from top universities to stimulate research in the field of information quality. To that end, we are developing methods that will allow users to filter massive amounts of information on the social web according to their own quality needs.

As for Science 2. In that context, we are working, for example, on creating knowledge environments for researchers that provide novel perspectives on research fields and that encourage collaboration.

NIPS 2012 Workshop

For the Styrian company Exthex, we are developing innovative social media marketing methods to increase customer loyalty to its products. In this context, we not only create marketing strategies based on social network analysis, but also novel recommender mechanisms and algorithms in this domain.


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Within the project Organic Lingua, knowledge construction and structuring is enhanced by enriching resources with metadata to facilitate the exchange and delivery of information in organic agriculture. In this context, we are developing new services, such as knowledge construction based on Natural Language Processing NLP techniques and collaborative filtering methods.