Hadamard matrices and 1-factorizations of complete graphs

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URI: https://hdl.handle.net/20.500.14861/166
ISSN: 2041-7942
DOI: 10.1112/S0025579318000566

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2019-02-11

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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.

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This is the accepted version of the following article: Ball, K., Ortega-Moreno, O., & Prodromou, M. (2019). Hadamard matrices and 1-factorizations of complete graphs. Mathematika, 65(3), 488–499. The final published version is available at: https://doi.org/10.1112/S0025579318000566

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