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On maximal distances in a commuting graphBojan Kuzma,

Polona Oblak,

Gregor Dolinar, 2012, original scientific article

**Abstract:** 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.

**Found in:** ključnih besedah

**Summary of found:** ...It is shown that matrices over algebraically closed fields that are farthest apart in... ...theory, commuting graph, matrix algebra, algebraically closed field, centralizer, distance in graphs, ...

**Keywords:** matematika, linearna algebra, teorija grafov, komutirajoči grafi, matrična algebra, algebraično zaprt obseg, centralizator, razdalja v grafih, mathematics, linear algebra, graph theory, commuting graph, matrix algebra, algebraically closed field, centralizer, distance in graphs

**Published:** 03.04.2017; **Views:** 699; **Downloads:** 93

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