Geodesic
Some Geometries Associated with Parabolic Representations of Groups of Lie Type
Canadian journal of mathematics, Tome 28 (1976) no. 5, pp. 1021-1031

Voir la notice de l'article provenant de la source Cambridge University Press

Suppose (P, △) is an undirected graph without loops or multiple edges. We will denote by △ (x) the vertices adjacent to x and . Let (G, P) be a transitive permutation representation of a group G in a, set P, and Δ be a non-trivial self-paired (i.e. symmetric) orbit for the action of G on P X P. We identify △ with the set of all two subsets {x, y} with (x, y) in △. Then we have a graph (P, Δ) with G ≦ Aut (P, △), transitive on both P and △. 
Cooperstein, Bruce N. Some Geometries Associated with Parabolic Representations of Groups of Lie Type. Canadian journal of mathematics, Tome 28 (1976) no. 5, pp. 1021-1031. doi: 10.4153/CJM-1976-100-9
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