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This paper proposes an efficient algorithm for inexact graph matching. Our main contribution is that we render the graph matching process to a way of recovery missing data based on dot product representation of graph (DPRG). We commence by building an association graph using the nodes in graphs with high matching probabilities, and treat the correspondences between unmatched nodes as missing data in association graph. Then, we recover correspondence matches using dot product representation of graphs with missing data. Promising experimental results on both synthetic and real-world data show the effectiveness of our graph matching method.