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Title:Adjacency preservers, symmetric matrices, and cores
Authors:Orel, Marko (Author)
Files:URL http://dx.doi.org/10.1007/s10801-011-0318-0
 
Language:English
Work type:Not categorized
Tipology:1.01 - Original Scientific Article
Organization:IAM - Andrej Marušič Institute
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.
Keywords:adjacency preserver, symmetric matrix, finite field, eigenvalue of a graph, coloring, quadratic form
Year of publishing:2012
Number of pages:str. 633-647
Numbering:Vol. 35, no. 4
ISSN:0925-9899
UDC:512.643
COBISS_ID:1024376404 Link is opened in a new window
Views:1617
Downloads:85
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Secondary language

Language:English
Keywords:ohranjevalec sosednosti, simetrična matrika, končni obseg, lastna vrednost grafa, barvanje, kvadratna forma

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