On Relation between the Kirchhoff Index and LaplacianEnergyLike Invariant of Graphs

Let G be a simple connected graph with n ≤ 2 vertices and m edges, and let μ1 ≥ μ2 ≥...≥μn1 gt;μn=0 be its Laplacian eigenvalues. The Kirchhoff index and Laplacianenergylike invariant (LEL) of graph G are defined as Kf(G)=nΣi=1n11/μi and LEL(G)=Σi=1n1 √μi, respectively. In this paper we consider relationship between Kf(G) and LEL(G).