A CLASSIFICATION OF SEMISYMMETRIC CUBIC GRAPHS OF ORDER 28p&sup2

Mehdi Alaeiyan; Mohsen Lashani

doi:10.22342/jims.16.2.38.139-143

Mehdi Alaeiyan ⁽¹⁾ , Mohsen Lashani ⁽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.16.2.38.139-143

Issue
Volume 16 Number 2 (October 2010)

Submitted
April 28, 2012

Accepted
April 28, 2012

Published
April 28, 2012

Keywords:

Semisymmetric, covering graphs, semiregular subgroup.

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Abstract

A graph is said to be semisymmetric if its full automorphism group actstransitively on its edge set but not on its vertex set. In this paper, we prove thatthere is only one semisymmetric cubic graph of order 28p<sub>2</sub>, where p is a prime.

DOI : http://dx.doi.org/10.22342/jims.16.2.38.139-143

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Authors

Mehdi Alaeiyan

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

penulis@jims-a.org (Primary Contact)

Mohsen Lashani

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

Alaeiyan, M., & Lashani, M. (2012). A CLASSIFICATION OF SEMISYMMETRIC CUBIC GRAPHS OF ORDER 28p&sup2. Journal of the Indonesian Mathematical Society, 16(2), 139–143. https://doi.org/10.22342/jims.16.2.38.139-143