Geodesic
Bell Graphs are Determined by their Laplacian Spectra
Kragujevac Journal of Mathematics, Tome 47 (2023) no. 2, p. 203

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

A graph $G$ is said to be determined by the spectrum of its Laplacian spectrum (DLS, for short) if every graph with the same spectrum is isomorphic to $G$. An $\infty$-graph is a graph consisting of two cycles with just a vertex in common. Consider the coalescence of an $\infty$-graph and the star graph $K_{1,s}$, with respect to their unique maximum degree. We call this a bell graph. In this paper, we aim to prove that all bell graphs are DLS.
Classification : 05C50
Keywords: Bell graph, Laplacian spectrum, $L$-cospectral, cospectral graphs, spectral characterization 
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Ali Zeydi Abdian. Bell Graphs are Determined by their Laplacian Spectra. Kragujevac Journal of Mathematics, Tome 47 (2023) no. 2, p. 203 . http://geodesic.mathdoc.fr/item/KJM_2023_47_2_a2/