A connected graph is transmission-regular if all its vertices have the same vertex transmission.
Equivalently, a graph 
is transmission-regular iff its transmission dimension is 
.
Every vertex-transitive graph is transmission-regular. More generally, every distance-regular graph is transmission-regular since the number of vertices at each distance from a given vertex is independent of the chosen vertex. In particular, complete graphs, cycle graphs, hypercube graphs, the Petersen graph, and balanced complete multipartite graphs are transmission-regular.
