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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.

DOI : http://dx.doi.org/10.22342/jims.21.2.193.117-126

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