Relating graph energy with vertex-degree-based energies

Author:

Gutman IvanORCID

Abstract

Introduction/purpose: The paper presents numerous vertex-degree-based graph invariants considered in the literature. A matrix can be associated to each of these invariants. By means of these matrices, the respective vertex-degree-based graph energies are defined as the sum of the absolute values of the eigenvalues. Results: The article determines the conditions under which the considered graph energies are greater or smaller than the ordinary graph energy (based on the adjacency matrix). Conclusion: The results of the paper contribute to the theory of graph energies as well as to the theory of vertex-degree-based graph invariants.

Publisher

Centre for Evaluation in Education and Science (CEON/CEES)

Reference15 articles.

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1. Estimating vertex-degree-based energies;Vojnotehnicki glasnik;2022

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