20.500.12556/RUP-7736
On maximal distances in a commuting graph
O maksimalni razdalji v komutirajočem grafu
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.
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
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true
false
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2012
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str. 243-256
Vol. 23
2012
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1081-3810
512.64
13706329
16313689
http://www.math.technion.ac.il/iic/ela/ela-articles/articles/vol23_pp243-256.pdf
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https://repozitorij.upr.si/Dokument.php?lang=slv&id=7736
Inštitut Andrej Marušič
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