Normal edge-transitive and \frac{1}{2}-arc-transitive cayley graphs on non-abelian groups of odd order 3pq, p and q are primes

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Published: Sep 30, 2018
DOI: https://doi.org/10.5556/j.tkjm.49.2018.2169
Keywords:
Cayley graph normal edge-transitive normal arc-transitive

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Ali Reza Ashrafi
Bijan Soleimani

Abstract

Suppose $p$ and $q$ are odd prime numbers. In this paper, the connected Cayley graph of groups of order $3pq$, for primes $p$ and $q$, are investigated and all connected normal $\frac{1}{2}-$arc-transitive Cayley graphs of group of these orders will be classified.

Article Details

How to Cite
Ashrafi, A. R., & Soleimani, B. (2018). Normal edge-transitive and \frac{1}{2}-arc-transitive cayley graphs on non-abelian groups of odd order 3pq, p and q are primes. Tamkang Journal of Mathematics, 49(3), 183–194. https://doi.org/10.5556/j.tkjm.49.2018.2169
Issue
Vol. 49 No. 3 (2018)
Section
Papers
Author Biographies

Ali Reza Ashrafi

Department of Pure Mathematics, Faculty ofMathematical Sciences, University of Kashan, Kashan 87317-53153,I. R. Iran.

Bijan Soleimani

Department of PureMathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan 87317-53153, I. R. Iran.

References

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