Upper bounds and lower bounds for the spectral radius of Reciprocal Distance, Reciprocal Distance Laplacian and Reciprocal Distance signless Laplacian matrices
| Autor: | Luis Medina, Macarena Trigo |
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| Rok vydání: | 2021 |
| Předmět: |
Numerical Analysis
Algebra and Number Theory Spectral radius 010102 general mathematics 010103 numerical & computational mathematics Mathematics::Spectral Theory Signless laplacian 01 natural sciences Combinatorics Matrix (mathematics) Distance matrix Discrete Mathematics and Combinatorics Geometry and Topology 0101 mathematics Laplacian matrix Laplace operator Reciprocal Connectivity Mathematics |
| Zdroj: | Linear Algebra and its Applications. 609:386-412 |
| ISSN: | 0024-3795 |
| DOI: | 10.1016/j.laa.2020.09.024 |
| Popis: | Let G be a simple undirected connected graph. The Harary matrix of graph G, which is also called as the Reciprocal Distance matrix, was introduced by Plavsic et al. in 1993. Bapat and Panda, in 2018, defined the Reciprocal Distance Laplacian matrix, and Alhevaz et al., in 2019, defined the Reciprocal Distance signless Laplacian matrix. In this article, we find upper bounds and lower bounds for the spectral radius of the Reciprocal Distance matrix, Reciprocal Distance Laplacian matrix and Reciprocal Distance signless Laplacian matrix. |
| Databáze: | OpenAIRE |
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