%0 Journal Article
%T A note on the bounds of Laplacian-energy-like-invariant
%J Iranian Journal of Mathematical Chemistry
%I University of Kashan
%Z 2228-6489
%A Faghani, M.
%A Pourhadi, E.
%D 2018
%\ 06/01/2018
%V 9
%N 2
%P 137-147
%! A note on the bounds of Laplacian-energy-like-invariant
%K Laplacian spectrum
%K Laplacian-energy-like invariant
%K Cauchy-Schwarz inequality
%K Lagrange identity
%K Spectral radius
%R 10.22052/ijmc.2018.98655.1313
%X The Laplacian-energy-like of a simple connected graph G is defined as LEL:=LEL(G)=∑_(i=1)^n√(μ_i ), Where μ_1 (G)≥μ_2 (G)≥⋯≥μ_n (G)=0 are the Laplacian eigenvalues of the graph G. Some upper and lower bounds for LEL are presented in this note. Moreover, throughout this work, some results related to lower bound of spectral radius of graph are obtained using the term of ΔG as the number of triangles in graph.
%U https://ijmc.kashanu.ac.ir/article_63443_846253a27afa935b360ad70ebf0d97fb.pdf