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 
@article{KJM_2023_47_2_a2,
     author = {Ali Zeydi Abdian},
     title = {Bell {Graphs} are {Determined} by their {Laplacian} {Spectra}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {203 },
     publisher = {mathdoc},
     volume = {47},
     number = {2},
     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2023_47_2_a2/}
}
TY  - JOUR
AU  - Ali Zeydi Abdian
TI  - Bell Graphs are Determined by their Laplacian Spectra
JO  - Kragujevac Journal of Mathematics
PY  - 2023
SP  - 203 
VL  - 47
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/KJM_2023_47_2_a2/
LA  - en
ID  - KJM_2023_47_2_a2
ER  - 
%0 Journal Article
%A Ali Zeydi Abdian
%T Bell Graphs are Determined by their Laplacian Spectra
%J Kragujevac Journal of Mathematics
%D 2023
%P 203 
%V 47
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/KJM_2023_47_2_a2/
%G en
%F KJM_2023_47_2_a2
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/