Let $\mathcal{G}_{n,\beta}$ be the set of simple graphs of order $n$ with given matching number $\beta$. In this paper, we investigate the maximal signless Laplacian spectral radius in $\mathcal{G}_{n,\beta}$ and characterize the extremal graphs with maximal signless Laplacian spectral radius.
@article{1225463779,
author = {Yu, Guihai},
title = {On the maximal signless Laplacian spectral radius of graphs with given matching number},
journal = {Proc. Japan Acad. Ser. A Math. Sci.},
volume = {84},
number = {1},
year = {2008},
pages = { 163-166},
language = {en},
url = {http://dml.mathdoc.fr/item/1225463779}
}
Yu, Guihai. On the maximal signless Laplacian spectral radius of graphs with given matching number. Proc. Japan Acad. Ser. A Math. Sci., Tome 84 (2008) no. 1, pp. 163-166. http://gdmltest.u-ga.fr/item/1225463779/