Chia, Gek Ling and Kok, Wai Keong (2006) On non-symmetric commutative association schemes with exactly one pair of non-symmetric relations. Discrete Mathematics, 306 (24). pp. 3189-3222. ISSN 0012-365X, DOI https://doi.org/10.1016/j.disc.2006.06.005.
Full text not available from this repository.Abstract
For a given non-symmetric commutative association scheme, by fusing all the non-symmetric relations pairwise with their symmetric counterparts, we can obtain a new symmetric association scheme. In this paper, we introduce a set of feasibility and realizability conditions for a class e symmetric association scheme to be split into a class e + 1 non-symmetric commutative association scheme. By applying the feasibility and realizability conditions, we obtain a classification into six categories of the class 4 non-symmetric fission schemes of group-divisible 3-schemes. Complete solutions for three of the six categories and partial results for the remaining cases are presented. © 2006 Elsevier B.V. All rights reserved.
| Item Type: | Article |
|---|---|
| Funders: | UNSPECIFIED |
| Uncontrolled Keywords: | Non-symmetric commutative association scheme; Fusion; Fission; Hadamard matrix |
| Subjects: | Q Science > Q Science (General) Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Institute of Mathematical Sciences |
| Depositing User: | Ms. Juhaida Abd Rahim |
| Date Deposited: | 17 Dec 2020 01:34 |
| Last Modified: | 17 Dec 2020 01:34 |
| URI: | http://eprints.um.edu.my/id/eprint/25660 |
Actions (login required)
 |
View Item |
