Abstract:Arrival data is a type of location related data which records the spots and time that users arrive. It can be the check-in data in the social network, stay points in the trajectory or the arrival locations of passengers in the public transport. The clusters of arrival data can reflect the aggregation behavior of users in a particular area. This paper presents a new spatio-temporal data query—Spatio-Temporal Abnormal Clusters Discovery. The new scheme partitions the arrival data into segments with equal timespan periodically. Then using spatio-temporal cluster algorithms, it clusters the data in every segment, and finds k most abnormal clusters by comparing the different degree of clusters. Finding abnormal clusters can be useful in areas such as urban safety management, location based service and transportation scheduling. This article defines the abnormal cluster query model, specifies the difference measurement for the clusters with arbitrary shape and transforms the query to the maximum matching problem of bipartite graphs. Algorithms are designed to improve the efficiency in constructing and matching of bipartite graphs. The experiments on the real datasets validate the application value of the query results and demonstrate the effectiveness of the query algorithm with different parameters.