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Assume that the directed graph G has N vertices and the maximal timestamp is T. First, all frequent mobility 1-patterns are extracted from the database D as the following procedure. To discover frequent 1-patterns, for each cell ID ci for 1 i N, we scan the transactional database D to find all points (ci, tj) for 1 j T. Each point (ci, tj) is a 1-pattern. Then their support values are calculated by using the equation (1). All 1-patterns which have support values
higher than a predefined minimum support threshold (suppmin) are selected and called frequent mobility 1-patterns as definition 7.
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