A Howell design admitting \(A_ 5\)
type: Item
instance of: scholarly article
title: A Howell design admitting \(A_ 5\)
zbMATH Open document ID: 0882.05029
DOI: 10.1016/S0012-365X(96)00216-6
author: R. A. Bailey
published in: Discrete Mathematics
publication date: 1998-02-01T00:00:00Z
review text: The author presents a regular graph of degree 6 on 12 vertices that contains three mutually orthogonal 1-factorizations. This graph is the icosahedron with the six diagonal edges added. A nice constructive proof is given. It should be noted while this construction is new, the result is not. It was first given in the paper ``A few results in message authentication'' by \textit{E. F. Brickell} [Congr. Numerantium 43, 141-154 (1984; Zbl 0561.05042)] and again appeared in the paper ``An assortment of new Howell designs'' by \textit{E. Seah} and \textit{D. R. Stinson} [Util. Math. 31, 157-188 (1987; Zbl 0647.05045)].
Mathematics Subject Classification ID: 05B15
Mathematics Subject Classification ID: 05C70
zbMATH DE Number: 1018502
zbMATH Keywords: Howell design
reviewed by: J. H. Dinitz
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1018502