A CLASSIFICATION OF SEMISYMMETRIC CUBIC GRAPHS OF ORDER 28p²

Mehdi Alaeiyan, Mohsen Lashani


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


Keywords


Semisymmetric, covering graphs, semiregular subgroup.

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p-ISSN:2086-8952e-ISSN:2460-0245