Geodesic
Relation graphs of an association scheme based on attenuated spaces
Journal of Algebraic Combinatorics, Tome 40 (2014) no. 4, pp. 973-982.

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

The set of subspaces with a given dimension in an attenuated space has a structure of a symmetric association scheme, which is a generalization of both Grassmann schemes and bilinear forms schemes. In this paper, we focus on two families of relation graphs. Their full automorphism groups are completely determined. As a consequence, the classical results of the automorphism groups of Grassmann graphs and bilinear forms graphs are generalized.
Classification : 05E30, 05C60
Keywords: association scheme, attenuated space, relation graph, full automorphism group 
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     title = {Relation graphs of an association scheme based on attenuated spaces},
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Liu, Wen; Wang, Kaishun. Relation graphs of an association scheme based on attenuated spaces. Journal of Algebraic Combinatorics, Tome 40 (2014) no. 4, pp. 973-982. http://geodesic.mathdoc.fr/item/JAC_2014__40_4_a6/