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A Note on a Conjecture about Commuting Graphs

Published 10 Jan 2013 in math.RA | (1301.2147v1)

Abstract: We prove that the diameter of the commuting graph of the full ma- trix ring over the real numbers is at most five. This answers, in the affir- mative, a conjecture proposed by Akbari-Mohammadian-radjavi-Raja, for the special case of the field of real numbers.

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