  We study the Anderson transition in lattices with the connectivity of a
random-regular graph. Our results indicate that fractal dimensions are
continuous across the transition, but a discontinuity occurs in their
derivatives, implying the non-ergodicity of the metal near the Anderson
transition. A critical exponent $\nu = 1.00 \pm0.02$ and critical disorder $W=
18.2\pm 0.1$ are found via a scaling approach. Our data support that the
predictions of the relevant Gaussian Ensemble are only recovered at zero
disorder.
