Geodesic
The finite edge-primitive pentavalent graphs
Journal of Algebraic Combinatorics, Tome 38 (2013) no. 2, pp. 491-497.

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

Summary: A graph is edge-primitive if its automorphism group acts primitively on edges. Weiss (in J. Comb. Theory Ser. B 15, 269-288, 1973) determined edge-primitive cubic graphs. In this paper, we classify edge-primitive pentavalent graphs. The same classification of those of valency 4 is also done.
Keywords: edge-primitive graph, symmetric graph, s-transitive graph 
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Guo, Song-Tao; Feng, Yan-Quan; Li, Cai Heng. The finite edge-primitive pentavalent graphs. Journal of Algebraic Combinatorics, Tome 38 (2013) no. 2, pp. 491-497. http://geodesic.mathdoc.fr/item/JAC_2013__38_2_a0/