Keywords: bound; clique number; independence number; signless Laplacian eigenvalues
@article{CMJ_2008_58_4_a26,
author = {Liu, Jianping and Liu, BoLian},
title = {The maximum clique and the signless {Laplacian} eigenvalues},
journal = {Czechoslovak Mathematical Journal},
pages = {1233--1240},
year = {2008},
volume = {58},
number = {4},
mrnumber = {2471179},
zbl = {1174.05079},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2008_58_4_a26/}
}
Liu, Jianping; Liu, BoLian. The maximum clique and the signless Laplacian eigenvalues. Czechoslovak Mathematical Journal, Tome 58 (2008) no. 4, pp. 1233-1240. http://geodesic.mathdoc.fr/item/CMJ_2008_58_4_a26/
[1] Cvetković, D., Doob, M., Sachs, H.: Spectra of Graphs, third ed. Johann Ambrosius Barth Verlag Heidelberg-Leipzig (1995). | MR
[2] Desai, M., Rao, V.: A characterization of the smallest eigenvalue of a graph. J. Graph Theory 18 (1994), 181-194. | DOI | MR | Zbl
[3] Haemers, W.: Interlacing eigenvalues and graphs. Linear Algebra Appl. 227-228 (1995), 593-616. | MR | Zbl
[4] Haemers, W., Spence, E.: Enumeration of cospectral graph. Europ. J. Combin. 25 (2004), 199-211. | DOI | MR
[5] Lu, M., Liu, H., Tian, F.: Laplacian spectral bounds for clique and independence numbers of graphs. J. Combin. Theory Ser. B 97 (2007), 726-732. | DOI | MR | Zbl
[6] Motzkin, T., Straus, E. G.: Maxima for graphs and a new proof of a theorem of Turén. Canad. J. Math. 17 (1965), 533-540. | DOI | MR