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Graph query, pattern mining and knowledge discovery become challenging on large-scale heterogeneous information networks (HINs). State-of-the-art techniques involving path propagation mainly focus on the inference on nodes labels and neighborhood structures. However, entity links in the real world also contain rich hierarchical inheritance relations. For example, the vulnerability of a product version is likely to be inherited from its older versions. Taking advantage of the hierarchical inheritances can potentially improve the quality of query results. Motivated by this, we explore hierarchical inheritance relations between entities and formulate the problem of graph query on HINs with hierarchical inheritance relations. We propose a graph query search algorithm by decomposing the original query graph into multiple star queries and apply a star query algorithm to each star query. Further candidates from each star query result are then constructed for final top-k query answers to the original query. To efficiently obtain the graph query result from a large-scale HIN, we design a bound-based pruning technique by using uniform cost search to prune search spaces. We implement our algorithm in GraphX to test the effectiveness and efficiency on synthetic and real-world datasets. Compared with two common graph query algorithms, our algorithm can effectively obtain more accurate results and competitive performances.