The eigenvalues of oppositeness graphs in buildings of spherical type

被引:5
作者
Brouwer, Andries E. [1 ]
机构
[1] Techn Univ Eindhoven, Dept Math, NL-5600 MB Eindhoven, Netherlands
来源
COMBINATORICS AND GRAPHS | 2010年 / 531卷
关键词
D O I
10.1109/CCECE.2010.5575114
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Consider the graph Gamma obtained by taking as vertices the flags in a finite building of spherical type defined over F(q), where two flags are adjacent when they are opposite. We show that the squares of the eigenvalues of Gamma are powers of q.
引用
收藏
页码:1 / 10
页数:10
相关论文
共 6 条
[1]  
Blok RJ, 1998, TRENDS MATH, P29
[2]  
Brouwer A.E., 1989, DISTANCE REGULAR GRA
[3]   The eigenspaces of the Bose-Mesner-algebras of the association schemes corresponding to projective spaces and polar spaces [J].
Eisfeld, J .
DESIGNS CODES AND CRYPTOGRAPHY, 1999, 17 (1-3) :129-150
[4]  
Geck M., 2000, Characters of finite Coxeter groups and Iwahori-Hecke algebras
[5]  
Humphreys J. E., 1990, REFLECTION GROUPS CO
[6]  
VANHOVE F, 2009, COMMUNICATION