“…In the data mining field [1], [2], [3], closed itemset mining [4] has been developed for a long time and been the focus of many studies [5], [6], [7], [8], [9], [10]. But in the graph mining field [11], [12], [13], [14], closed frequent subgraph mining is a new problem with little research [15], [16], [17], [18], [19].…”