Affiliation:
1. School of Mathematics and Computer Science, Yunnan Minzu University, Kunming 650031, China
Abstract
A graph is symmetric if its automorphism group is transitive on the arcs of the graph. Guo et al. determined all of the connected seven-valent symmetric graphs of order 8p for each prime p. We shall generalize this result by determining all of the connected seven-valent symmetric graphs of order 8pq with p and q to be distinct primes. As a result, we show that for each such graph of Γ, it is isomorphic to one of seven graphs.
Funder
National Natural Science Foundation of China
Natural Science Foundation of Yunnan Province