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Title: Adjacency preservers, symmetric matrices, and cores Orel, Marko (Author) http://dx.doi.org/10.1007/s10801-011-0318-0 English Not categorized 1.01 - Original Scientific Article IAM - Andrej Marušič Institute 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. adjacency preserver, symmetric matrix, finite field, eigenvalue of a graph, coloring, quadratic form 2012 str. 633-647 Vol. 35, no. 4 0925-9899 512.643 1024376404 1617 85 Document is not linked to any category.

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## Secondary language

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