Geodesic
On the Normalized Laplacian Spectrum of Some Graphs
Kragujevac Journal of Mathematics, Tome 44 (2020) no. 3, p. 431 .

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

In this paper we determine the normalized Laplacian spectrum of duplication vertex join of two graphs, duplication graph, splitting graph and double graph of a regular graph. Here we investigate some graph invariants like the normalized Laplacian energy, Kemeny's constant and number of spanning tree of these graphs.
Classification : 05C50, 05C90
Keywords: Normalized Laplacian spectrum, normalized Laplacian energy, Kemeny's constant, spanning tree 
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     author = {Renny P. Varghese and D. Susha},
     title = {On the {Normalized} {Laplacian} {Spectrum} of {Some} {Graphs}},
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Renny P. Varghese; D. Susha. On the Normalized Laplacian Spectrum of Some Graphs. Kragujevac Journal of Mathematics, Tome 44 (2020) no. 3, p. 431 . http://geodesic.mathdoc.fr/item/KJM_2020_44_3_a8/