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

Document Type: Special Issue: Energy of Graphs

Authors

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 μ1 ≥ μ2 ≥...≥μn-1 n=0 be its Laplacian
eigenvalues. The Kirchhoff index and Laplacian-energy-like invariant (LEL) of graph G are defined as Kf(G)=nΣi=1n-11/μand LEL(G)=Σi=1n-1 √μirespectively. In this paper we consider relationship between Kf(G) and LEL(G).

Keywords

Main Subjects


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