A method includes obtaining a graph traversal statement; determining at least two operators contained in the graph traversal statement and an execution order, of the at least two operators, allocating a respective thread to each operator, creating a buffer queue for each two adjacent operators; for each two adjacent operators, executing an operation of a former operator by a thread, writing an executing result of the former operator to the buffer queue; an executing an operator of a latter operator by reading the execution result of the former operator by a thread from the buffer queue.