  We present a semi-analytical approach to the determination of the dynamic
properties of randomly branched polymers under the Rouse approximation. The
principle procedure is based on examining a spectrum of eigenvalues which
represents the average dynamic behavior of various structures. The calculated
spectra show that the eigenvalue distribution is random even within a single
structure which in turn produces a continuous spectrum of values for the entire
class. The auto-correlation functions for the radius of gyration squared were
calculated based on these spectra, which confirms that the dynamics is
non-exponential as earlier reported. A universal stretched exponent is also
found in this study.
