Hamming graphs in Nomura Algebras
Combinatorics
2011-01-14 v2
Abstract
Let A be an association scheme on q\geq 3 vertices. We show that the Bose-Mesner algebra of the generalized Hamming scheme H(n,A), for n\geq 2, is not the Nomura algebra of a type II matrix. This result gives examples of formally self-dual Bose-Mesner algebras that are not the Nomura algebras of type II matrices.
Keywords
Cite
@article{arxiv.1010.1197,
title = {Hamming graphs in Nomura Algebras},
author = {Ada Chan and Akihiro Munemasa},
journal= {arXiv preprint arXiv:1010.1197},
year = {2011}
}
Comments
15 pages, minor revision