Title of article :
A Note on the Bounds of Laplacian−Energy−Like Invariant
Author/Authors :
FAGHANI, MORTEZA Department of Mathematic - Payame Noor University - P.O.Box 19395−3697 - Tehran , POURHADI, EHSAN School of Mathematics - Iran University of Science and Technology - Narmak - Tehran
Abstract :
The Laplacian-energy-like of a simple connected graph G is defined as LEL = LEL(G) = 2-1 Vi, where 47(G) > M2(G) > . Un (G) = 0 are the Laplacian eigenvalues of the graph G. In this paper, some upper and lower bounds for LEL, as well as, some lower bounds for the spectral radius of graph are obtained.
Keywords :
Laplacian spectrum Laplacian-energy-like invariant , Cauchy-Schwarz inequality , Lagrange identity , Spectral radius
Journal title :
Astroparticle Physics
