C. Tasis

Departamento de Matemáticas‎, ‎Universidad de Oviedo‎. ‎Avenida Calvo Sotelo s/n‎, ‎33007 Oviedo‎, ‎Spain.

[ 1 ] - On the diameter of the commuting graph of the full matrix ring over the real numbers

‎In a recent paper C‎. ‎Miguel proved that the diameter of the commuting graph of the matrix ring $mathrm{M}_n(mathbb{R})$ is equal to $4$ if either $n=3$ or $ngeq5$‎. ‎But the case $n=4$ remained open‎, ‎since the diameter could be $4$ or $5$‎. ‎In this work we close the problem showing that also in this case the diameter is $4$.

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