A Survey on the Laplacian-Energy-Like Invariant

作者:Liu, Bolian*; Huang, Yufei; You, Zhifu
来源:MATCH-Communications in Mathematical and in Computer Chemistry, 2011, 66(3): 713-730.

摘要

Let G be a simple graph of order n, and let 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, we survey results on LEL, with emphasis on the bounds and extremal graphs of LEL.