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Exhaustive Community Enumeration in Parallel

    An algorithm to evaluate/count all the possible communities of a graph is presented. An associated unrank function is described. An implementation of an existing algorithm to evaluate all the possible partitions of a graph, based on an unrank function, is presented as well. Performance results of the parallelizations of these algorithms obtained on a shared memory machine, a cluster of workstations and a Graphical Processing Unit (GPU) are included.

    Communicated by S. Akl