Geodesic
Diameter of the commutativity graph of the real sedenions
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXXVI, Tome 524 (2023), pp. 36-55

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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. 
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     author = {S. A. Zhilina},
     title = {Diameter of the commutativity graph of the real sedenions},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {36--55},
     publisher = {mathdoc},
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     year = {2023},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2023_524_a3/}
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S. A. Zhilina. Diameter of the commutativity graph of the real sedenions. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXXVI, Tome 524 (2023), pp. 36-55. http://geodesic.mathdoc.fr/item/ZNSL_2023_524_a3/