Euclidean Jordan Algebras and Inequalities on the Parameters of a Strongly Regular Graph

被引：0
|
作者：
de Almeida Vieira, Luis Antonio [1 ]
机构：
[1] Univ Porto, Dept Civil Engn Porto, P-4200465 Oporto, Portugal
来源：
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2 | 2009年 / 1168卷
关键词：
Euclidean Jordan algebras; Graph theory;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let tau be a strongly regular graph with three distinct eigenvalues. We associate a three dimensional Euclidean Jordan algebra V to the adjacency matrix of tau. Next we define the generalized Krein parameters of the strongly regular graph tau. Finally, we show that the generalized Krein parameters of a strongly regular graph are real numbers between 0 and 1, and we establish necessary conditions for the existence of a strongly regular graph.
引用
收藏
页码：995 / 998
页数：4
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