Geodesic
Tetravalent one-regular graphs of order $2pq$
Journal of Algebraic Combinatorics, Tome 29 (2009) no. 4, pp. 457-471.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: A graph is one-regular if its automorphism group acts regularly on the set of its arcs. In this article a complete classification of tetravalent one-regular graphs of order twice a product of two primes is given. It follows from this classification that with the exception of four graphs of orders 12 and 30, all such graphs are Cayley graphs on Abelian, dihedral, or generalized dihedral groups.
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Keywords: keywords one-regular graph, symmetric graph, Cayley graph 
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     title = {Tetravalent one-regular graphs of order $2pq$},
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Zhou, Jin-Xin; Feng, Yan-Quan. Tetravalent one-regular graphs of order $2pq$. Journal of Algebraic Combinatorics, Tome 29 (2009) no. 4, pp. 457-471. http://geodesic.mathdoc.fr/item/JAC_2009__29_4_a3/