ON THREE CONJECTURES INVOLVING THE SIGNLESS LAPLACIAN SPECTRAL RADIUS OF GRAPHS


Lihua Feng, Guihai Yu


We study the signless Laplacian spectral radius of graphs and prove three conjectures of Cvetković, Rowlinson, and Simić [Eigenvalue bounds for the signless Laplacian, Publ. Inst. Math., Nouv. Sér. 81(95) (2007), 11--27].