A Note on a Conjecture about Commuting Graphs

2013/01/10 by C. Miguel, Miguel, C.
Mathematics · #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA

paper · pdf · doi:10.48550/arxiv.1301.2147

arxiv created 2013/01/10 · arxiv updated 2013/01/11

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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