ON THE CUBIC EDGE-TRANSITIVE GRAPHS OF ORDER $58p2$

laleh pourmokhtar; Mehdi Alaeiyan

doi:10.22342/jims.21.2.193.117-126

laleh pourmokhtar ⁽¹⁾ , Mehdi Alaeiyan ⁽²⁾

(1) Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran, Islamic Republic of,

(2) Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran, Islamic Republic of

https://doi.org/10.22342/jims.21.2.193.117-126

Issue
Volume 21 Number 2 (October 2015)

Submitted
January 15, 2015

Accepted
November 3, 2015

Published
November 3, 2015

Keywords:

edge-transitive graphs, symmetric graphs, semisymmetric graphs, s-regular graphs, regular coverings

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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

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Authors

laleh pourmokhtar

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

laleh_pourmokhtar@iust.ac.ir (Primary Contact)

Mehdi Alaeiyan

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

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