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Exact maximum clique finders have progressed to the point where we caninvestigate cliques in million-node social and information networks, as well asfind strongly connected components in temporal networks. We use one such finderto study a large collection of modern networks emanating from biological,social, and technological domains. We show inter-relationships between maximumcliques and several other common network properties, including network density,maximum core, and number of triangles. In temporal networks, we find that thelargest temporal strong components have around 20-30% of the vertices of theentire network. These components represent groups of highly communicativeindividuals. In addition, we discuss and improve the performance and utility ofthe maximum clique finder itself.

What if CLIQUE were fast? Maximum Cliques in Information Networks and Strong Components in Temporal Networks