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The problem of extracting the minimal transversals from a hypergraph is known to be particularly difficult. Given that the number of minimal transversals can be exponential even for moderately sized hypergraphs, we propose, in this paper, a concise representation of minimal transversals in order to optimize the computation time and we introduce a new algorithm, called IRRED-ENGINE, which extracts...
With the rapid growth of the Web 2.0, the discovery of key actors in social networks, called influencers, mediators, ambassadors or experts, has recently received a renewed of attention. In this article, we consider a particular type of actor that we call a multi-member since he belongs to several communities. We introduce a methodological framework to identify these actors in a hypergraph, in which...
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