Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2022; 59(1): 203-212

Online first article August 24, 2021      Printed January 31, 2022

https://doi.org/10.4134/BKMS.b210224

Copyright © The Korean Mathematical Society.

Semi-symmetric cubic graph of order $12p^3$

Pooriya Majd Amoli, Mohammad Reza Darafsheh, Abolfazl Tehranian

Islamic Azad University; University of Tehran; Islamic Azad University

Abstract

A simple graph is called semi-symmetric if it is regular and edge transitive but not vertex transitive. In this paper we prove that there is no connected cubic semi-symmetric graph of order $12p^3$ for any prime number $p$.

Keywords: Edge-transitive graph, vertex-transitive graph, semi-symmetric graph, order of a graph, classification of cubic semi-symmetric graphs

MSC numbers: 05E18, 20D60, 05C25, 20B25

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