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Basic Sciences and Enabling Technologies

On the diameter of the commuting graph of the matrix ring over a centrally finite division ring

Miguel, C.

Linear Algebra and Its Applications Vol. 509, Nº 509, pp. 276 - 285, November, 2016.

ISSN (print): 0024-3795
ISSN (online):

Scimago Journal Ranking: 1,07 (in 2016)

Digital Object Identifier: 10.1016/j.laa.2016.08.001

Abstract
For a finite dimensional division ring Dwe establish a condi-tion for the connectedness of the commuting graph Γ(Mn(D)). Furthermore, if the graph Γ(Mn(D))is connected, we prove that its diameter cannot be greater that six.
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