On Distance Signless Laplacian Spectral Radius and Distance Signless Laplacian Energy

Luis Medina, Hans Nina and Macarena Trigo
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Luis Medina: Departamento de Matemáticas, Facultad de Ciencias Básicas, Universidad de Antofagasta, Antofagasta 1240000, Chile
Hans Nina: Departamento de Matemáticas, Facultad de Ciencias Básicas, Universidad de Antofagasta, Antofagasta 1240000, Chile
Macarena Trigo: Departamento de Matemáticas, Facultad de Ciencias Básicas, Universidad de Antofagasta, Antofagasta 1240000, Chile

Mathematics, 2020, vol. 8, issue 5, 1-14

Abstract: In this article, we find sharp lower bounds for the spectral radius of the distance signless Laplacian matrix of a simple undirected connected graph and we apply these results to obtain sharp upper bounds for the distance signless Laplacian energy graph. The graphs for which those bounds are attained are characterized.

Keywords: distance signless Laplacian matrix; spectral radius; distance signless Laplacian energy (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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