Geodesic
The spectrum of neighborhood corona of graphs
Kragujevac Journal of Mathematics, Tome 35 (2011) no. 3, p. 493

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

Given two graphs $G_1$ with vertices $\{v_1,v_2,\dots,v_n\}$ and $G_2$, the neighbourhood corona, $G_1 \bigstar G_2$ is the graph obtained by taking $n$ copies of $G_2$ and for each $i$, making all vertices in the $i^{th}$ copy of $G_2$ adjacent with the neighbours of $v_i$, $i=1,2,\dots,n$. In this paper a complete description of the spectrum and eigenvectors of $G_1 \bigstar G_2$ is given when $G_2$ is regular, thus adding to the class of graphs whose spectrum is completely known.
Classification : 05C05 05C12 05C50
Keywords: Spectrum, adjacency matrix, corona of graphs 
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     author = {Indulal Gopalapillai},
     title = {The spectrum of neighborhood corona of graphs},
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     pages = {493 },
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     number = {3},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2011_35_3_a12/}
}
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Indulal Gopalapillai. The spectrum of neighborhood corona of graphs. Kragujevac Journal of Mathematics, Tome 35 (2011) no. 3, p. 493 . http://geodesic.mathdoc.fr/item/KJM_2011_35_3_a12/