The Laplacian Spectrum of Corona of Two Graphs
Kragujevac Journal of Mathematics, Tome 38 (2014) no. 1, p. 163
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
Let $G_{1}$, $G_{2}$ be two connected graphs. Denote the corona and the edge corona of $G_{1}$, $G_{2}$ by $G_1\circ G_2$ and $G=G_{1}\diamond G_{2}$, respectively. In this paper, we compute the Laplacian spectrum of the corona $G\circ H$ of two arbitrary graphs $G$ and $H$ and the edge corona of a connected regular graph $G_{1}$ and an arbitrary graph $G_{2}$.
Classification :
05C12
Keywords: Laplacian matrix, Laplacian spectrum, Corona, Edge corona, Kronecker product
Keywords: Laplacian matrix, Laplacian spectrum, Corona, Edge corona, Kronecker product
@article{KJM_2014_38_1_a10,
author = {Qun Liu},
title = {The {Laplacian} {Spectrum} of {Corona} of {Two} {Graphs}},
journal = {Kragujevac Journal of Mathematics},
pages = {163 },
year = {2014},
volume = {38},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KJM_2014_38_1_a10/}
}
Qun Liu. The Laplacian Spectrum of Corona of Two Graphs. Kragujevac Journal of Mathematics, Tome 38 (2014) no. 1, p. 163 . http://geodesic.mathdoc.fr/item/KJM_2014_38_1_a10/