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11 July, 2019

Triples of Orthogonal Latin and Youden Rectangles For Small Orders

Journal of Combinatorial Designs, Volume 27, Issue 4, p. 229-250, doi.org/10.1002/jcd.21642 Abstract We have performed a complete enumeration of nonisotopic triples of mutually orthogonal Latin rectangle. Here we will present a census of such triples, classified by various properties, including the order of the autotopism group of the triple. As part of this, we have also achieved the first enumeration of pairwise orthogonal triples of Youden rectangles. We have also studied orthogonal triples of rectangles which are formed by extending mutually orthogonal triples with nontrivial autotopisms one row at a time, and requiring that the autotopism group is nontrivial in each step. This class includes a triple coming from the projective plane of order 8. Here we find a remarkably symmetrical pair of triples of rectangles, formed by juxtaposing two selected copies of complete sets of mutually orthogonal Latin squares of order 4.

Type of publication: Journal articles | Markström, Klas , , Gerold Jäger, Lars-Daniel Öhman & Denys Shcherbak
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30 March, 2023
School impacts of violent relgious extremism

School impacts of violent relgious extremism

How does the spread of violent extremism in the Sahel region in Africa affect the access to education for boys and girls?

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27 April, 2018

Ethnic variations in mental health among 10–15-year-olds living in England and Wales: The impact of neighbourhood characteristics and parental behaviour

Health & Place 51 (2018) pp.189–199, doi.org/10.1016/j.healthplace.2018.03.010. Abstract Several studies indicate that young people from certain ethnic minority groups in Britain have significant men

Type of publication: Journal articles | Vartanova, Irina , , Kenisha Russell Jonsson & Marita Södergren
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