  We study the continuum limit of a "radially reduced" approximation of Causal
Dynamical Triangulations (CDT), so-called multigraph ensembles, and explain why
they serve as realistic toy models to study the dimensional reduction observed
in numerical simulations of four-dimensional CDT. We present properties of this
approximation in two, three and four dimensions comparing them with the
numerical simulations and pointing out some common features with 2+1
dimensional Horava-Lifshitz gravity.
