In view of the slow speed of fractal graph drawing with character substitution method, this paper gives two methods to increase the speed of fractal graph drawing. First, the string is stored in two sequential tables instead of one, and the new string is generated by table tail insertion method, thus avoiding a large number of element movements during insertion. Second, new strings are generated by a shared stack operation on a single sequential table, again avoiding the problem of a large number of element movements during new string generation. The test results show that using the two method...