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New bounds on the distance Laplacian and distance signless Laplacian spectral radii
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Let G be a simple undirected connected graph. In this paper, new upper bounds on the distance Laplacian spectral radius of G are obtained. Moreover, new lower and upper bounds for the distance signless Laplacian spectral radius of G are derived. Some of the above mentioned bounds are sharp and the graphs attaining the corresponding bound are characterized. Several illustrative examples are included.
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Bounds on the $\alpha$-distance spectrum of graphs
The α-distance Estrada index is introduced and several bounds on α-distance spectral radius, energy, and Estrada index are proved for connected graphs.
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