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A matrix ring with commuting graph of maximal diameter

Published 12 Jan 2015 in math.CO | (1501.02764v2)

Abstract: The commuting graph of a semigroup is the set of non-central elements; the edges are defined as pairs $(u,v)$ satisfying $uv=vu$. We provide an example of a field $F$ and an integer $n$ such that the commuting graph of $\operatorname{Mat}_n(F)$ has maximal possible diameter, equal to six.

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Authors (1)

  1. Yaroslav Shitov 

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