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arxiv: 1301.2147 · v1 · pith:4PZTCKQTnew · submitted 2013-01-10 · 🧮 math.RA

A Note on a Conjecture about Commuting Graphs

classification 🧮 math.RA
keywords commutingconjecturenumbersrealaffir-akbari-mohammadian-radjavi-rajaanswerscase
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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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