Abstract.
A t-regular graph of radius s is radial Moore
if it has diameter s+1 and
Ms,t=1+t+(t-1)t+(t-1)t2+...+(t-1)ts-1
vertices.
We construct radial Moore graphs of radius 3 and degrees
t=3,5,7,9,10,11,...,30 with at least t+1 central vertices and
at most t+2 orbits under the automorphism group.
Together with our previous result and with a nice result of Exoo, Gimbert,
Lopez and Gomez, we now get that for every t≥3there exists a radial
Moore graph of radius 3 and degree t.