Vertex-symmetric generalized Moore graphs
The transmission of a connected graph G is defined as the sum of all distances in G. A lower bound for the transmission, which can be regarded as a generalization of the Moore bound, was derived by Cerf et al. Graphs with a transmission attaining this bound are called generalized Moore graphs. Using techniques founded on Cayley graphs, we constructed vertex-symmetric generalized Moore graphs.
transmission moore bound cayley graphs degree/diameter problem mean distance