A Note on a Conjecture about Commuting Graphs
Miguel, C.
A Note on a Conjecture about Commuting Graphs, Proc Joint ALAMA-GAMM/ANLA, Barcelona, Spain, Vol. I, pp. 48 - 48, July, 2014.
Digital Object Identifier: 0
Abstract
A Note on a Conjecture about Commuting Graphs.
Celino Miguel
Instituto de Telecomunucacões,
Polo de Covilhã,
celino@ubi.pt
Abstract
We prove that the diameter of the commuting graph of the full matrix ring over the real numbers is at most ve. This answers, in the armative, a conjecture proposed by Akbari-Mohammadian-radjavi-Raja,for the special case of the eld of real numbers.
Subject Classi cation: 15A21; 15A27; 05C50
Keywords: Jordan form; full matrix ring; commuting graph; diameter
