A note on a conjecture about commuting graphs

作者：Miguel C^*

来源：Linear Algebra and Its Applications, 2013, 438(12): 4750-4756.

DOI：10.1016/j.laa.2013.02.016

• Jordan form
• Full matrix ring
• Commuting graph
• Diameter

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.

• 出版日期2013-6-15