Cubic symmetric graphs of order $6p^{3}$

Mehdi Alaeiyan; M. K. Hosseinipoor

Authors

Mehdi Alaeiyan Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran 16844, Iran Author
M. K. Hosseinipoor Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran 16844, Iran Author

Keywords:

symmetric graphs,

s

-regular graphs, regular coverings

Subjects:

05C10, 05C25

Abstract

A graph is called $s$ -regular if its automorphism group actsregularly on the set of its $s$ -arcs. In this paper, we classifyall connected cubic $s$ -regular graphs of order $6 p^{3}$ for each $s \geq 1$ and all primes $p$ .

Cubic symmetric graphs of order $6 p^{3}$

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Cubic symmetric graphs of order 6p3

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Cubic symmetric graphs of order $6 p^{3}$