A graph is one-regular if its automorphism group acts regularly on the set of its arcs. In this paper, tetravalent one-regular graphs of order 3p², where p is a prime, are classified.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm128-1-3,
author = {Mohsen Ghasemi},
title = {A classification of tetravalent one-regular graphs of order 3p$^2$},
journal = {Colloquium Mathematicae},
volume = {126},
year = {2012},
pages = {15-24},
zbl = {1258.05048},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm128-1-3}
}
Mohsen Ghasemi. A classification of tetravalent one-regular graphs of order 3p². Colloquium Mathematicae, Tome 126 (2012) pp. 15-24. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm128-1-3/