Geodesic
On $\mathcal{C}$-commuting graph of matrix algebra
The electronic journal of linear algebra, Tome 18 (2009), pp. 364-370.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Let D be a division ring, n 2 a natural number, and C $\subseteq M$ n ( D). Two matrices A and B are called C - commuting if there is C $\in C$ that AB - BA = C. In this paper the C - commuting graph of Mn ( D)is defined and denoted by $\Gamma $C( Mn ( D)). Conditions are given that guarantee that the C - commuting graph is connected.
Classification : 15A27, 15A33, 16P10
Keywords: division ring, matrix algebra, commuting 
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     author = {Raja, P. and Vaezpour, S.M.},
     title = {On $\mathcal{C}$-commuting graph of matrix algebra},
     journal = {The electronic journal of linear algebra},
     pages = {364--370},
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Raja, P.; Vaezpour, S.M. On $\mathcal{C}$-commuting graph of matrix algebra. The electronic journal of linear algebra, Tome 18 (2009), pp. 364-370. http://geodesic.mathdoc.fr/item/ELA_2009__18__a27/