Principal eigenvector of the signless Laplacian matrix
Copyright policy )Principal eigenvector of the signless Laplacian matrix
In this paper, we study the entries of the principal eigenvector of the signless Laplacian matrix of a hypergraph. More precisely, we obtain bounds for this entries. These bounds are computed trough other important parameters, such as spectral radius, maximum and minimum degree. We also introduce and study a new parameter related to edges of the hypergraph. This parameter is a spectral measure of a structural characteristic that can be thought of as an edge-variant of regularity.
Keywords: Hypergraph; Signless Laplacian matrix; Principal eigenvector; Spectral radius. arXiv admin note: text overlap with arXiv:1909.00246
spectral radius, Eigenvalues, singular values, and eigenvectors, Graphs and linear algebra (matrices, eigenvalues, etc.), hypergraph, signless Laplacian matrix, principal eigenvector, Hypergraphs, Mathematics - Spectral Theory, 05C65, 05C50, 15A18, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Spectral Theory (math.SP)
spectral radius, Eigenvalues, singular values, and eigenvectors, Graphs and linear algebra (matrices, eigenvalues, etc.), hypergraph, signless Laplacian matrix, principal eigenvector, Hypergraphs, Mathematics - Spectral Theory, 05C65, 05C50, 15A18, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Spectral Theory (math.SP)
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