A distance regular graph with intersection array (21,16,8; 1,4,14) does not exist

被引：7

作者：

Coolsaet, K ^{[1
]}

机构：

[1] State Univ Ghent, Dept Appl Math & Comp Sci, B-9000 Ghent, Belgium

来源：

EUROPEAN JOURNAL OF COMBINATORICS | 2005年 / 26卷 / 05期

关键词：

distance regular graph; minimal idempotent;

D O I：

10.1016/j.ejc.2004.04.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that a distance regular graph Gamma with intersection array (21, 16, 8; 1, 4, 14) does not exist. The proof uses algebraic properties of a positive semidefinite matrix related to the neighbourhood of; vertex of Gamma. (c) 2004 Elsevier Ltd. All rights reserved.

引用

页码：709 / 716

页数：8