Main Article Content
Abstract
A graph is called edge-transitive, if its full automorphismgroup acts transitively on its edge set. In this paper, we inquire theexistence of connected edge-transitive cubic graphs of order 58p2foreach prime p. It is shown that only for p = 29, there exists a uniqueedge-transitive cubic graph of order 58p2.
Keywords
edge-transitive graphs
symmetric graphs
semisymmetric graphs
s-regular graphs
regular coverings
Article Details
How to Cite
pourmokhtar, laleh, & Alaeiyan, M. (2015). ON THE CUBIC EDGE-TRANSITIVE GRAPHS OF ORDER $58p2$. Journal of the Indonesian Mathematical Society, 21(2), 117–126. https://doi.org/10.22342/jims.21.2.193.117-126