Abstract.
An t-regular graph of radius s is radially Moore
if it has diameter s+1 and
Ms,t=1+t+(t-1)t+(t-1)t2+...+(t-1)ts-1
vertices.
Although analogously defined radially Moore digraphs were constructed for
evry possible s and t, the situation for graphs seems to be
much more complicated.
In this note we describe a construction, using which we found radially Moore
graphs of radius 3 with degrees 3, 4, 5, 6 and 7.
Unfortunately, we are not able to prove a general result for radius 3 at the
moment.