Geodesic
ARC-TRANSITIVE NON-CAYLEY GRAPHS FROM REGULAR MAPS
Acta mathematica Universitatis Comenianae, Tome 63 (1994) no. 2 
P. Gvozdjak; J. Siran. ARC-TRANSITIVE NON-CAYLEY GRAPHS FROM REGULAR MAPS. Acta mathematica Universitatis Comenianae, Tome 63 (1994) no. 2. http://geodesic.mathdoc.fr/item/AMUC_1994_63_2_a13/
@article{AMUC_1994_63_2_a13,
     author = {P. Gvozdjak and J. Siran},
     title = {ARC-TRANSITIVE {NON-CAYLEY} {GRAPHS} {FROM} {REGULAR} {MAPS}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {1994},
     volume = {63},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_1994_63_2_a13/}
}
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Voir la notice de l'article provenant de la source Comenius University

We prove that the underlying graphs of $p$-gonal $r$-valent orientably regular maps are arc-transitive but non-Cayley if $r\geq 3$ and $p$ is a prime greater than $r(r-1)$.