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Basic Sciences and Enabling Technologies

A note on a conjecture about commuting graphs

Miguel, C.

Linear Algebra and Its Applications Vol. 438, Nº 12, pp. 4750 - 4756, March, 2013.

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

Scimago Journal Ranking: 0,99 (in 2013)

Digital Object Identifier: 10.1016/j.laa.2013.02.016

Abstract
We prove that the diameter of the commuting graph of the full matrix ring over the real numbers is at most five. This answers, in the affirmative, a conjecture proposed by Akbari–Mohammadian–Radjavi–Raja, for the special case of the field of real numbers.
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