A Note on the Bounds of Laplacian-energy-like-invariant

نویسندگان
Pourhadi, E. ID 1
Faghani, M. ID 2

1 Inviting lecturer of Iran university of science and technology

2 payame noor university

doi
10.22052/ijmc.2018.98655.1313
چکیده

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.

کلیدواژه‌ها
Laplacian spectrum, Laplacian-energy-like invariant, Cauchy-Schwarz inequality, Lagrange identity, Spectral radius