Relation graphs of an association scheme based on attenuated spaces

被引：0
|
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
来源：
Journal of Algebraic Combinatorics | 2014年 / 40卷
关键词：
Association scheme; Attenuated space; Relation graph; Full automorphism group; 05E30;
D O I：
暂无
中图分类号：
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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