TY - JOUR
ID - 63443
TI - A note on the bounds of Laplacian-energy-like-invariant
JO - Iranian Journal of Mathematical Chemistry
JA - IJMC
LA - en
SN - 2228-6489
AU - Faghani, M.
AU - Pourhadi, E.
AD - payame noor university
AD - Inviting lecturer of Iran university of science and technology
Y1 - 2018
PY - 2018
VL - 9
IS - 2
SP - 137
EP - 147
KW - Laplacian spectrum
KW - Laplacian-energy-like invariant
KW - Cauchy-Schwarz inequality
KW - Lagrange identity
KW - Spectral radius
DO - 10.22052/ijmc.2018.98655.1313
N2 - 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.
UR - https://ijmc.kashanu.ac.ir/article_63443.html
L1 - https://ijmc.kashanu.ac.ir/article_63443_846253a27afa935b360ad70ebf0d97fb.pdf
ER -