- Gazi University Journal of Science
- Vol: 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
Authors : Ilkay Altindağ
Pages : 238-247
Doi:10.35378/gujs.532697
View : 7 | Download : 3
Publication Date : 2020-03-01
Article Type : Research
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