MATEMATIČKI VESNIK, Vol. 69, No. 2, pp. 101

MATEMATIČKI VESNIK
Vol. 69, No. 2, pp. 101–117 (2017)

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

Mehdi Alaeiyan and M. K. Hosseinipoor

Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran 16844, Iran E-mail: alaeiyan@iust.ac.ir

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

Keywords: symmetric graphs; $s$ -regular graphs; regular coverings.

Classification (MSC2000): 05C10; 05C25

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Electronic fulltext finalized on: 24 Feb 2017. This page was last modified: 17 Mar 2017.

© 2017 Mathematical Society of Serbia (Društvo matematičara Srbije)
© 2017 FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition

Cubic symmetric graphs of order 6p 3

Mehdi Alaeiyan and M. K. Hosseinipoor

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