Bounds for Degree-Sum adjacency eigenvalues of a graph in terms of Zagreb indices

Bounds for Degree-Sum adjacency eigenvalues of a graph in terms of Zagreb indices

For a graph $G$ the degree sum adjacency matrix $DS_A(G)$ is defined as a matrix, in which every element is sum of the degrees of the vertices if and only if the corresponding vertices are adjacent, otherwise it is zero. In this paper we obtain the bounds for the spectral radius and partial sum of...

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Bibliographic Details
Main Authors: Sumedha S. Shinde, Narayan Swamy, Shaila Gudimani, Harishchandra S. Ramane
Format: Article
Language:English
Published: Institute of Mathematics and Computer Science of the Academy of Sciences of Moldova 2021-09-01
Series:Computer Science Journal of Moldova
Subjects:
adjacency eigenvalues
degree sum adjacency matrix
zagreb index
eigenvalues
energy
Online Access:http://www.math.md/files/csjm/v29-n2/v29-n2-(pp271-283).pdf
Description
Summary:For a graph $G$ the degree sum adjacency matrix $DS_A(G)$ is defined as a matrix, in which every element is sum of the degrees of the vertices if and only if the corresponding vertices are adjacent, otherwise it is zero. In this paper we obtain the bounds for the spectral radius and partial sum of the eigenvalues of the $DS_A$ matrix. We also find the bounds for the $DS_A$ energy of a graph in terms of its Zagreb indices.
ISSN:1561-4042

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