Interaction graphs have been developed for two-level and three-level fractional factorial designs under different design criteria. A catalogue is presented of all possible non-isomorphic interaction graphs for 4(r)2(n-p) (r=1; n=2, ... , 10; p=1, ... , 8 and r=2; n=1 , ... , 7; p=1, ... , 7) fractional factorial designs, and nonisomorphic interaction graphs for asymmetric fractional factorial designs under the concept of combined array.