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7550376 
Journal Article 
On Laplacian-energy-like invariant of a graph 
Wang, W; Luo, Y; , 
2012 
1 
Linear Algebra and Its Applications
ISSN: 0024-3795 
ELSEVIER SCIENCE INC 
NEW YORK 
437 
2 
713-721 
WOS:000304732200020 
Let G be a simple graph of order n, and mu(1) >= mu(2) >= ... >= mu(n) = 0 be the Laplacian spectrum of G. The Laplacian-energy-like invariant of G (LEL for short) is defined as LEL(G) = Sigma(n-1)(i=1) root mu(i). In this paper, a new lower bound for LEL of graphs in terms of the maximum degree is given. Meanwhile, an upper bound and a lower bound for LEL of the line graph (resp., the subdivision graph and the total graph) of a regular graph G are obtained. Crown Copyright (c) 2012 Published by Elsevier Inc. All rights reserved.