Association schemes generated by a non-symmetric relation of valency 2
type: Item
instance of: scholarly article
title: Association schemes generated by a non-symmetric relation of valency 2
zbMATH Open document ID: 0998.05030
DOI: 10.1016/S0012-365X(01)00063-2
published in: Discrete Mathematics
publication date: 2002-05-21T00:00:00Z
review text: Based on the representation theory of Bose-Mesner algebras, the authors solved two problems in the areas of association schemes and Cayley graphs. They first gave a classification of association schemes with a non-symmetric relation of valency 2. Then they solved a conjecture posed by the reviewer in [J. Comb. Theory, Ser. B 74, 28-34 (1998; Zbl 0904.05064)] and [Bull. Aust. Math. Soc. 58, 137-145 (1998; Zbl 0908.05047)] regarding the isomorphism problem of Cayley digraphs of valency 2, that is, the isomorphism relation between connected Cayley digraphs of valency 2 of a finite simple group can be realized by automorphisms of the base group.
Mathematics Subject Classification ID: 05C25
Mathematics Subject Classification ID: 05E30
Mathematics Subject Classification ID: 05C60
zbMATH DE Number: 1743017
zbMATH Keywords: association schemes
zbMATH Keywords: Cayley graphs
zbMATH Keywords: isomorphism problem of Cayley digraphs
author: Mitsugu Hirasaka
author: Mikhail Muzychuk
MaRDI profile type: Publication
full work available at URL: s0012-365x(01)00063-2
OpenAlex ID: W2109831750
description: scientific article; zbMATH DE number 1743017