Association schemes based on attenuated spaces

被引：31
|
作者：
Wang, Kaishun [1 ,2 ]
Guo, Jun [3 ]
Li, Fenggao [4 ]
机构：
[1] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China
[2] Beijing Normal Univ, Lab Math Com Sys, Beijing 100875, Peoples R China
[3] Langfang Teachers Coll, Math & Inf Coll, Langfang 065000, Peoples R China
[4] Hunan Inst Sci & Technol, Dept Math, Yueyang 414006, Hunan, Peoples R China
来源：
EUROPEAN JOURNAL OF COMBINATORICS | 2010年 / 31卷 / 01期
关键词：
D O I：
10.1016/j.ejc.2009.01.002
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The subspaces of a given dimension in an attenuated space form the points of an association scheme. If the dimension is maximal, it is the bilinear forms graph, which has been thoroughly studied. In this paper, we discuss the general case, and obtain a family of symmetric association schemes which are a common generalization of the Grassmann schemes and the bilinear forms schemes. Moreover, all the parameters of the association scheme are computed. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：297 / 305
页数：9
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