ON MAXIMAL DISTANCES IN A COMMUTING GRAPH

被引：0

作者：

Dolinar, Gregor ^{[1
]}

Kuzma, Bojan ^{[2
,3
]}

Oblak, Polona ^{[4
]}

机构：

[1] Univ Ljubljana, Fac Elect Engn, SI-1000 Ljubljana, Slovenia

[2] Univ Primorska, SI-6000 Koper, Slovenia

[3] IMFM, SI-1000 Ljubljana, Slovenia

[4] Univ Ljubljana, Fac Comp & Informat Sci, SI-1000 Ljubljana, Slovenia

来源：

ELECTRONIC JOURNAL OF LINEAR ALGEBRA | 2012年 / 23卷

关键词：

Commuting graph; Matrix algebra; Algebraically closed field; Centralizer; Distance in graphs; MATRIX ALGEBRAS; RINGS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown that matrices over algebraically closed fields that are farthest apart in the commuting graph must be non-derogatory. Rank-one matrices and diagonalizable matrices are also characterized in terms of the commuting graph.

引用

页码：243 / 256

页数：14

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