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Hadamard matrices and 1-factorizations of complete graphs
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Ball, Keith M., Ortega-Moreno, Oscar and Prodromou, Maria (2019) Hadamard matrices and 1-factorizations of complete graphs. Mathematika, 65 (3). pp. 488-499. doi:10.1112/S0025579318000566 ISSN 0025-5793.
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Official URL: https://doi.org/10.1112/S0025579318000566
Abstract
We discuss 1-factorizations of complete graphs that “match” a given Hadamard matrix. We prove the existence of these factorizations for two families of Hadamard matrices: Walsh matrices and certain Paley matrices.
| Item Type: | Journal Article | ||||||
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| Subjects: | Q Science > QA Mathematics | ||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
| Library of Congress Subject Headings (LCSH): | Complete graphs, Hadamard matrices | ||||||
| Journal or Publication Title: | Mathematika | ||||||
| Publisher: | London Mathematical Society | ||||||
| ISSN: | 0025-5793 | ||||||
| Official Date: | 11 February 2019 | ||||||
| Dates: |
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| Volume: | 65 | ||||||
| Number: | 3 | ||||||
| Page Range: | pp. 488-499 | ||||||
| DOI: | 10.1112/S0025579318000566 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Reuse Statement (publisher, data, author rights): | This is the accepted version of the following article: Ball, Keith M., Ortega-Moreno, Oscar and Prodromou, Maria (2018) Hadamard matrices and 1-factorizations of complete graphs. Mathematika. Published version: https://doi.org/10.1112/S0025579318000566 | ||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||
| Date of first compliant deposit: | 12 November 2018 | ||||||
| Date of first compliant Open Access: | 25 February 2019 | ||||||
| RIOXX Funder/Project Grant: |
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