| Title: | Adjacency preservers, symmetric matrices, and cores |
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| Authors: | ID Orel, Marko (Author) |
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| Files: |  http://dx.doi.org/10.1007/s10801-011-0318-0
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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 the graph ▫$\Gamma_n$▫ that has the set of all ▫$n \times n$▫ symmetric matrices over a finite field as the vertex set, with two matrices being adjacent if and only if the rank of their difference equals one, is a core if ▫$n \ge 3$▫. Eigenvalues of the graph ▫$\Gamma_n$▫ are calculated as well. |
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| Keywords: | adjacency preserver, symmetric matrix, finite field, eigenvalue of a graph, coloring, quadratic form |
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| Year of publishing: | 2012 |
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| Number of pages: | str. 633-647 |
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| Numbering: | Vol. 35, no. 4 |
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| PID: | 20.500.12556/RUP-3395  |
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| ISSN: | 0925-9899 |
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| UDC: | 512.643 |
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| COBISS.SI-ID: | 1024376404 |
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| Publication date in RUP: | 15.10.2013 |
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| Views: | 3142 |
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| Downloads: | 141 |
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| Metadata: |     |
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