On maximal distances in a commuting graph
Rings and Algebras
2010-09-29 v1
Abstract
We study maximal distances in the commuting graphs of matrix algebras defined over algebraically closed fields. In particular, we show that the maximal distance can be attained only between two nonderogatory matrices. We also describe rank-one and semisimple matrices using the distances in the commuting graph.
Keywords
Cite
@article{arxiv.1009.5543,
title = {On maximal distances in a commuting graph},
author = {Gregor Dolinar and Bojan Kuzma and Polona Oblak},
journal= {arXiv preprint arXiv:1009.5543},
year = {2010}
}