Generalization for the Average Value of the Difference Between the Energies of Two Graphs

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Gazi University Journal of Science
Volume:33 Issue:1
Generalization for the Average Value of the Difference Between the Energies of Two Graphs

Generalization for the Average Value of the Difference Between the Energies of Two Graphs

Pages : 238-247

View : 60 | Download : 10

Publication Date : 2020-03-01

Article Type : Research Paper

Abstract :Let G denote the set of all simple graphs with n vertices and m edges. In this paper, for a given type of graph Hermite matrix A, we determine the average values of the difference between A-energies of two graphs randomly chosen from G . These results yield criterions for deciding when two graphs are almost A-equienergetic. Our results generalize some previous results in the literature. Moreover, we give new results on Laplacian energy.
Keywords : A, energy of graph, almost A, equienergetic graphs

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