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Fundamentalnaya i Prikladnaya Matematika, 2010, Volume 16, Issue 8, Pages 17–26
(Mi fpm1374)
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This article is cited in 5 scientific papers (total in 5 papers)
Totally conjugate orthogonal quasigroups and complete graphs
G. B. Belyavskaya, T. V. Popovich Institute of Mathematics and Computer Science, Academy of Sciences of Moldova
Abstract:
In this article, we study the spectrum of quasigroups all conjugates of which are distinct and pairwise orthogonal. We call such quasigroups totally conjugate orthogonal quasigroups (for brevity, totCO-quasigroups). Every totCO-quasigroup defines the complete conjugate orthogonal Latin square graph $K_6$. Examples of totCO-quasigroups of different orders are given.
Citation:
G. B. Belyavskaya, T. V. Popovich, “Totally conjugate orthogonal quasigroups and complete graphs”, Fundam. Prikl. Mat., 16:8 (2010), 17–26; J. Math. Sci., 185:2 (2012), 184–191
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https://www.mathnet.ru/eng/fpm1374 https://www.mathnet.ru/eng/fpm/v16/i8/p17
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Abstract page: | 446 | Full-text PDF : | 159 | References: | 59 | First page: | 2 |
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