Milovanovic, E., Milovanovic, I., Matejic, M. (2017). On Relation between the Kirchhoff Index and Laplacian-Energy-Like Invariant of Graphs. Mathematics Interdisciplinary Research, 2(2), 141-154. doi: 10.22052/mir.2017.85687.1063

Emina Milovanovic; Igor Milovanovic; Marjan Matejic. "On Relation between the Kirchhoff Index and Laplacian-Energy-Like Invariant of Graphs". Mathematics Interdisciplinary Research, 2, 2, 2017, 141-154. doi: 10.22052/mir.2017.85687.1063

Milovanovic, E., Milovanovic, I., Matejic, M. (2017). 'On Relation between the Kirchhoff Index and Laplacian-Energy-Like Invariant of Graphs', Mathematics Interdisciplinary Research, 2(2), pp. 141-154. doi: 10.22052/mir.2017.85687.1063

Milovanovic, E., Milovanovic, I., Matejic, M. On Relation between the Kirchhoff Index and Laplacian-Energy-Like Invariant of Graphs. Mathematics Interdisciplinary Research, 2017; 2(2): 141-154. doi: 10.22052/mir.2017.85687.1063

On Relation between the Kirchhoff Index and Laplacian-Energy-Like Invariant of Graphs

^{}Faculty of Electronic Engineering, University of Nis, Nis, Serbia

Abstract

Let G be a simple connected graph with n ≤ 2 vertices and m edges, and let μ_{1} ≥ μ_{2 }≥...≥μ_{n-1 }>μ_{n}=0 be its Laplacian eigenvalues. The Kirchhoff index and Laplacian-energy-like invariant (LEL) of graph G are defined as Kf(G)=nΣ_{i=1}^{n-1}1/μ_{i }and LEL(G)=Σ_{i=1}^{n-1} √μ_{i}, respectively. In this paper we consider relationship between Kf(G) and LEL(G).