Geodesic
On Laplacian Estrada Index of Union and Cartesian Product of Graphs
Kragujevac Journal of Mathematics, Tome 43 (2019) no. 1, p. 23

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

The Estrada index $EE$ of a graph $G$ of order $n$ is defined as the sum of the terms $e^{\lambda_i}$, $i = 1, 2, \ldots , n$, where $\lambda_1, \lambda_2, \ldots , \lambda_n$ are its adjacency eigenvalues. The Laplacian Estrada index $LEE$ of a graph $G$ is defined as the sum of the terms $e^{\mu_i}$, $i = 1, 2, \ldots , n$, where $\mu_1, \mu_2, \ldots , \mu_n$ are the Laplacian eigenvalues of $G$. In this paper we have obtained the upper bounds for the Laplacian Estrada index of union of graphs and computed Laplacian Estrada index of Cartesian product of some graphs.
Classification : 05C50
Keywords: Laplacian Estrada index, Laplacian energy, union of graphs, line graph, Cartesian product 
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Harishchandra S. Ramane; Gouramma A. Gudodagi; Abdollah Alhevaz. On Laplacian Estrada Index of Union and Cartesian Product of Graphs. Kragujevac Journal of Mathematics, Tome 43 (2019) no. 1, p. 23 . http://geodesic.mathdoc.fr/item/KJM_2019_43_1_a2/