Geodesic
Spectral characterization of multicone graphs
Czechoslovak Mathematical Journal, Tome 62 (2012) no. 1, pp. 117-126.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

A multicone graph is defined to be the join of a clique and a regular graph. Based on Zhou and Cho's result [B. Zhou, H. H. Cho, Remarks on spectral radius and Laplacian eigenvalues of a graph, Czech. Math. J. 55 (130) (2005), 781–790], the spectral characterization of multicone graphs is investigated. Particularly, we determine a necessary and sufficient condition for two multicone graphs to be cospectral graphs and investigate the structures of graphs cospectral to a multicone graph. Additionally, lower and upper bounds for the largest eigenvalue of a multicone graph are given.
DOI : 10.1007/s10587-012-0021-x
Classification : 05C50
Keywords: adjacency matrix; cospectral graph; spectral characteriztion; multicone graph 
@article{10_1007_s10587_012_0021_x,
     author = {Wang, Jianfeng and Zhao, Haixing and Huang, Qiongxiang},
     title = {Spectral characterization of multicone graphs},
     journal = {Czechoslovak Mathematical Journal},
     pages = {117--126},
     publisher = {mathdoc},
     volume = {62},
     number = {1},
     year = {2012},
     doi = {10.1007/s10587-012-0021-x},
     mrnumber = {2899739},
     zbl = {1249.05256},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s10587-012-0021-x/}
}
TY  - JOUR
AU  - Wang, Jianfeng
AU  - Zhao, Haixing
AU  - Huang, Qiongxiang
TI  - Spectral characterization of multicone graphs
JO  - Czechoslovak Mathematical Journal
PY  - 2012
SP  - 117
EP  - 126
VL  - 62
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1007/s10587-012-0021-x/
DO  - 10.1007/s10587-012-0021-x
LA  - en
ID  - 10_1007_s10587_012_0021_x
ER  - 
%0 Journal Article
%A Wang, Jianfeng
%A Zhao, Haixing
%A Huang, Qiongxiang
%T Spectral characterization of multicone graphs
%J Czechoslovak Mathematical Journal
%D 2012
%P 117-126
%V 62
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1007/s10587-012-0021-x/
%R 10.1007/s10587-012-0021-x
%G en
%F 10_1007_s10587_012_0021_x
Wang, Jianfeng; Zhao, Haixing; Huang, Qiongxiang. Spectral characterization of multicone graphs. Czechoslovak Mathematical Journal, Tome 62 (2012) no. 1, pp. 117-126. doi : 10.1007/s10587-012-0021-x. http://geodesic.mathdoc.fr/articles/10.1007/s10587-012-0021-x/

Cité par Sources :