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Fusions of the generalized Hamming scheme on a strongly-regular graph
- Publication Year :
- 2022
-
Abstract
- In this paper we show that for any fusion $\mathcal{B}$ of an association scheme $\mathcal{A}$, the generalized Hamming scheme $H(n,\mathcal{B})$ is a nontrivial fusion of $H(n,\mathcal{A})$. We analyze the case where $\mathcal{A}$ is the association scheme on a strongly-regular graph, and determine the parameters of all strongly-regular graphs for which the generalized Hamming scheme, $H(2,\mathcal{A})$, has extra fusions, in addition to the one arising from the trivial fusion of $\mathcal{A}$.
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2202.01150
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/s00373?022?02545?4