Relation graphs of an association scheme based on attenuated spaces

被引:0
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作者
Wen Liu
Kaishun Wang
机构
[1] Beijing Normal University,School of Mathematical Sciences & Lab. Math.Com. Sys.
[2] Hebei Normal University,Hebei Key Lab of Computational Mathematics & Applications, and College of Math & Info. Sciences
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关键词
Association scheme; Attenuated space; Relation graph; Full automorphism group; 05E30;
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学科分类号
摘要
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.
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页码:973 / 982
页数:9
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