Fractal Dimension of Randomly Branched Polymers in a Good Solvent

We propose a concept of subchain for the randomly branched polymers. As a direct application of this concept, the asymptotic expression of the average mean square radius of gyration is determined to give the fractal dimensions, in which the excluded volume effect is taken into consideration. Furthermore, We investigate a scaling relation that is associates with the Flory exponent v, the fractal dimension d_f and polydispersity exponent τ.