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Fair packing of independent sets
Nina Chiarelli, Matjaž Krnc, Martin Milanič, Ulrich Pferschy, Nevena Pivač, Joachim Schauer, 2020, published scientific conference contribution

Keywords: fair division, conflict graph, partial coloring
Published in RUP: 03.06.2020; Views: 1830; Downloads: 119
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Adjacency preservers, symmetric matrices, and cores
Marko Orel, 2012, original scientific article

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
Published in RUP: 15.10.2013; Views: 3342; Downloads: 141
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