Normalized Laplacian Spectrum of Different Type of Coronas of Two Regular Graphs
Kragujevac Journal of Mathematics, Tome 41 (2017) no. 1, p. 57
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
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
Keywords: Normalized Laplacian matrix, corona, edge corona, neighborhood corona, Kronecker product, Hadamard product
@article{KJM_2017_41_1_a2,
author = {A. Das and P. Panigrahi},
title = {Normalized {Laplacian} {Spectrum} of {Different} {Type} of {Coronas} of {Two} {Regular} {Graphs}},
journal = {Kragujevac Journal of Mathematics},
pages = {57 },
year = {2017},
volume = {41},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KJM_2017_41_1_a2/}
}
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/