The Sun graph is determined by its signless Laplacian spectrum
ELA. The Electronic Journal of Linear Algebra, Tome 20 (2010), pp. 610-620.

Voir la notice de l'article dans Electronic Library of Mathematics

Summary: For a simple undirected graph G, the corresponding signless Laplacian matrix is defined as $D(G) + A(G)$ in which $D(G)$ and $A(G)$ are degree matrix and adjacency matrix of G, respectively. The graph G is said to be determined by its signless Laplacian spectrum, if any graph having the same signless Laplacian spectrum as G is isomorphic to G. Also the Sun graph of order 2n is a cycle C n with an edge terminating in a pendent vertex attached to each vertex. Among other things, one result in this paper is that the Sun graphs are determined by their signless Laplacian spectrum.
Classification : 05C50, 05C90
Mots-clés : Sun graph, signless Laplacian matrix, cospectral graphs 
@article{EEJLA_2010__20__a10,
     author = {Mirzakhah, Maryam and Kiani, Dariush},
     title = {The {Sun} graph is determined by its signless {Laplacian} spectrum},
     journal = {ELA. The Electronic Journal of Linear Algebra},
     pages = {610--620},
     publisher = {mathdoc},
     volume = {20},
     year = {2010},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/item/EEJLA_2010__20__a10/}
}
TY  - JOUR
AU  - Mirzakhah, Maryam
AU  - Kiani, Dariush
TI  - The Sun graph is determined by its signless Laplacian spectrum
JO  - ELA. The Electronic Journal of Linear Algebra
PY  - 2010
SP  - 610
EP  - 620
VL  - 20
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/item/EEJLA_2010__20__a10/
LA  - en
ID  - EEJLA_2010__20__a10
ER  - 
%0 Journal Article
%A Mirzakhah, Maryam
%A Kiani, Dariush
%T The Sun graph is determined by its signless Laplacian spectrum
%J ELA. The Electronic Journal of Linear Algebra
%D 2010
%P 610-620
%V 20
%I mathdoc
%U https://geodesic-test.mathdoc.fr/item/EEJLA_2010__20__a10/
%G en
%F EEJLA_2010__20__a10
Mirzakhah, Maryam; Kiani, Dariush. The Sun graph is determined by its signless Laplacian spectrum. ELA. The Electronic Journal of Linear Algebra, Tome 20 (2010), pp. 610-620. https://geodesic-test.mathdoc.fr/item/EEJLA_2010__20__a10/