Abstract
In this paper we investigate the spectrum of the Seidel and Seidel Laplacian matrix of a graph. We generalized the concept of Seidel Laplacian matrix which denoted by Seidel matrix and obtained some results related to them. This can be intuitively understood as a consequence of the relationship between the Seidel and Seidel Laplacian matrix in the graph by Zagreb index. In closing, we mention some alternatives to and generalization of the Seidel and Seidel Laplacian matrices. Also, we obtain relation between Seidel and Seidel Laplacian energy, related to all graphs with order n.
Publisher
Sociedade Paranaense de Matematica
Reference15 articles.
1. S. Akbari, J. Askari, K. Ch. Das, Some properties of eigenvalues of the Seidel matrix, Linear and Multilinear Algebra, 1. 12, (2020). https://doi.org/10.1080/03081087.2020.1790481
2. J. Askari, A. Iranmanesh, K. Ch. Das, Seidel Estrada-Index, Journal of Inequalities and Applications (2016) 2016:120. https://doi.org/10.1186/s13660-016-1061-9
3. B. Borovicanin, K. Ch. Das, B. Furtula and I. Gutman, Bounds for Zagreb indices, MATCH Commun. Math. Comput. Chem., 78, (2017), 17-100.
4. A.E. Brouwer, W. H. Haemers, Spectra of Graphs, Springer, New York, 2012.
5. I. Gutman, N. Trinajst'c, Graph theory and molecular orbitals. III. Total π-electron energy of alternant hydrocarbons, Chem. Phys. Lett., 17, (1972), 535-538. https://doi.org/10.1016/0009-2614(72)85099-1
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1. On Seidel Laplacian matrix and energy of graphs;Acta Universitatis Sapientiae, Informatica;2022-08-01