Fusions of the generalized Hamming scheme on a strongly-regular graph

被引：0
|
作者：
Herman, Allen [1 ]
Joshi, Neha [1 ]
Meagher, Karen [1 ]
机构：
[1] Univ Regina, Dept Math & Stat, Regina, SK S4S 0A2, Canada
来源：
GRAPHS AND COMBINATORICS | 2022年 / 38卷 / 05期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Fusion; Association schemes; Generalized Hamming scheme; ASSOCIATION SCHEMES; SUBSCHEMES;
D O I：
10.1007/s00373-022-02545-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we show that for any fusion B of an association scheme A, the generalized Hamming scheme H (n, B) is a nontrivial fusion of H(n, A). We analyze the case where A is the association scheme on a strongly-regular graph, and determine the parameters of all strongly-regular graphs for which the generalized Hamming scheme, H(2, A), has extra fusions, in addition to the one arising from the trivial fusion of A.
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页数：34
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