Isomorphism classes of association schemes induced by Hadamard matrices

被引：1
|
作者：
Hirasaka, Mitsugu [1 ]
Kim, Kijung [1 ]
Yu, Hyonju [1 ]
机构：
[1] Pusan Natl Univ, Dept Math, Busan 609735, South Korea
来源：
EUROPEAN JOURNAL OF COMBINATORICS | 2016年 / 51卷
基金：
新加坡国家研究基金会;
关键词：
D O I：
10.1016/j.ejc.2015.04.010
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Every Hadamard matrix H of order n > 1 induces a graph with 4n vertices, called the Hadamard graph Gamma(H) of H. Since Gamma(H) is a distance-regular graph with diameter 4, it induces a 4-class association scheme (Omega, S) of order 4n. In this article we show a way to construct fission schemes of (Omega, S) under certain conditions, and for such a fission scheme we estimate the number of isomorphism classes with the same intersection numbers as the fission scheme. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码：37 / 46
页数：10
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