Normalized Laplacian Spectrum of Different Type of Coronas of Two Regular Graphs
Kragujevac Journal of Mathematics, Tome 41 (2017) no. 1, p. 57 .

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In this paper, we determine the full normalized Laplacian spectrum of the corona, edge corona and neighborhood corona of a connected regular graph with an arbitrary regular graph in terms of the normalized Laplacian eigenvalues of the original graphs. Moreover, applying these results we find some non-regular normalized Laplacian co-spectral graphs.
Classification : 05C50 47A75
Keywords: Normalized Laplacian matrix, corona, edge corona, neighborhood corona, Kronecker product, Hadamard product
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A. Das; P. Panigrahi. Normalized Laplacian Spectrum of Different Type of Coronas of Two Regular Graphs. Kragujevac Journal of Mathematics, Tome 41 (2017) no. 1, p. 57 . http://geodesic.mathdoc.fr/item/KJM_2017_41_1_a2/