laleh pourmokhtar
Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran

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ON THE CUBIC EDGE-TRANSITIVE GRAPHS OF ORDER $58p2$ laleh pourmokhtar; Mehdi Alaeiyan
Journal of the Indonesian Mathematical Society Volume 21 Number 2 (October 2015)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.21.2.193.117-126

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