New bounds on the distance Laplacian and distance signless Laplacian spectral radii

Author
Díaz, Roberto Carlos

Julio, Ana

Rojo, Óscar

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https://www.revistaproyecciones.cl/article/view/3600
10.22199/issn.0717-6279-2019-04-0056
Abstract
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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