A new family of distance-regular graphs with unbounded diameter

被引：46
|
作者：
van Dam, ER
Koolen, JH
机构：
[1] Tilburg Univ, Dept Econ & OR, NL-5000 LE Tilburg, Netherlands
[2] POSTECH, Dept Math, Pohang 790784, South Korea
来源：
INVENTIONES MATHEMATICAE | 2005年 / 162卷 / 01期
关键词：
Dimensional Space; Finite Field; Grassmann Graph; Arbitrary Finite Field; Unbounded Diameter;
D O I：
10.1007/s00222-005-0442-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct distance-regular graphs with the same - classical - parameters as the Grassmann graphs on the e-dimensional subspaces of a (2e + 1)-dimensional space over an arbitrary finite field. This provides the first known family of non-vertex-transitive distance-regular graphs with unbounded diameter.
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页码：189 / 193
页数：5
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