MMN-1140
Bounds for Laplacian-type graph energies
Ivan Gutman; Emina Milovanović; Igor Milovanović;Abstract
Let G be an undirected connected graph with n \geq 3, vertices and m edges. Denote by mu_1 \geq ...\geq mu_n, gamma_1 \geq ... \geq gamma_n, and
\rho_1 \geq ... \geq \rho_n, respectively, the Laplacian, signless Laplacian, and normalized Laplacian eigenvalues
of G. The Laplacian energy, signless Laplacian energy,
and normalized Laplacian energy of G are defined as
LE = sum |\mu_i - 2m/n|, SLE = sum |gamma_i - 2m/n|,
and NLE = sum |rho_i -1|, respectively. Lower bounds for
LE, SLE, and NLE are obtained.
Vol. 16 (2015), No. 1, pp. 195-203
DOI: 10.18514/MMN.2015.1140