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 1 - 2 / 21 1.Adjacency preservers, symmetric matrices, and coresMarko Orel, 2012, original scientific articleAbstract: 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.Found in: ključnih besedahSummary of found: ...finite field, eigenvalue of a graph, coloring, quadratic form...Keywords: adjacency preserver, symmetric matrix, finite field, eigenvalue of a graph, coloring, quadratic formPublished: 15.10.2013; Views: 1616; Downloads: 85 Full text (0,00 KB) 2.On vertex-stabilizers of bipartite dual polar graphsŠtefko Miklavič, 2010, original scientific articleAbstract: Let ▫$X,Y$▫ denote vertices of a bipartite dual polar graph, and let ▫$G_X$▫ and ▫$G_Y$▫ denote the stabilizers of ▫$X$▫ and ▫$Y$▫ in the full automorphism group of this graph. In this paper, a description of the orbits of ▫$G_X \cap G_Y$▫ in the cases when the distance between ▫$X$▫ and ▫$Y$▫ is 1 or 2, is given.Found in: ključnih besedahSummary of found: ...dual polar graphs, automorphism group, quadratic form, isotropic subspace...Keywords: dual polar graphs, automorphism group, quadratic form, isotropic subspacePublished: 15.10.2013; Views: 1475; Downloads: 69 Full text (0,00 KB)
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