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Zapiski Nauchnykh Seminarov POMI, 2023, Volume 524, Pages 36–55 (Mi znsl7354)  
Diameter of the commutativity graph of the real sedenions

S. A. Zhilina

Lomonosov Moscow State University
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Abstract: The commutativity graph of the real sedenion algebra is considered. It is shown that those elements whose imaginary part is not a zero divisor correspond to isolated vertices of this graph. All other elements form a connected component whose diameter equals 3.
Key words and phrases: Cayley–Dickson algebras, sedenions, relation graphs, commutativity graph, alternative elements.
Funding agency Grant number
Russian Science Foundation 22-11-00052
Received: 11.10.2023
Document Type: Article
UDC: 512.643+512.554
Language: Russian
Citation: S. A. Zhilina, “Diameter of the commutativity graph of the real sedenions”, Computational methods and algorithms. Part XXXVI, Zap. Nauchn. Sem. POMI, 524, POMI, St. Petersburg, 2023, 36–55
Citation in format AMSBIB
\Bibitem{Zhi23}
\by S.~A.~Zhilina
\paper Diameter of the commutativity graph of the real sedenions
\inbook Computational methods and algorithms. Part~XXXVI
\serial Zap. Nauchn. Sem. POMI
\yr 2023
\vol 524
\pages 36--55
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7354}
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