| Title: | On maximal distances in a commuting graph |
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| Authors: | ID Dolinar, Gregor (Author)
ID Kuzma, Bojan (Author)
ID Oblak, Polona (Author) |
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| Files: |  http://www.math.technion.ac.il/iic/ela/ela-articles/articles/vol23_pp243-256.pdf
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| Language: | English |
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| Work type: | Not categorized |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | IAM - Andrej Marušič Institute
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| 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. |
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| 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 |
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| Year of publishing: | 2012 |
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| Number of pages: | str. 243-256 |
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| Numbering: | Vol. 23 |
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| PID: | 20.500.12556/RUP-7736  |
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| ISSN: | 1081-3810 |
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| UDC: | 512.64 |
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| COBISS.SI-ID: | 16313689 |
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| Publication date in RUP: | 02.04.2017 |
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| Views: | 2699 |
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| Downloads: | 261 |
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| Metadata: |    |
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