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

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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/