
doi: 10.4418/2019.74.1.4
Summary: In this paper, we study the eigenvalues of the reciprocal distance signless Laplacian matrix of a connected graph and obtain some bounds for the maximum eigenvalue of this matrix. We also focus on bipartite graphs and find some bounds for the spectral radius of the reciprocal distance signless Laplacian matrix of this class of graphs. Moreover, we give bounds for the reciprocal distance signless Laplacian energy.
Eigenvalues, singular values, and eigenvectors, Distance in graphs, Graphs and linear algebra (matrices, eigenvalues, etc.), reciprocal distance signless Laplacian matrix, maximum eigenvalues
Eigenvalues, singular values, and eigenvectors, Distance in graphs, Graphs and linear algebra (matrices, eigenvalues, etc.), reciprocal distance signless Laplacian matrix, maximum eigenvalues
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