The transmission dimension of 
, where 
is a connected graph with
vertex set 
and vertex transmission 
for 
, is the number of distinct vertex
transmissions,
 |
In particular, 
is transmission-regular iff 
.
Transmission Dimension
See also
Graph Transmission, Transmission-Minimal Regular Graph, Transmission-Regular Graph, Vertex TransmissionExplore with Wolfram|Alpha
References
Alfaro, C. A.; Villagrán, R. R.; and Zapata, O. "Distinguishing Graphs with Two Integer Matrices." 27 Sep 2023. https://arxiv.org/abs/2309.15365.Cite this as:
Weisstein, Eric W. "Transmission Dimension." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/TransmissionDimension.html