Please use this identifier to cite or link to this item: https://scidar.kg.ac.rs/handle/123456789/10585
Title: Comparison between Kirchhoff index and the Laplacian-energy-like invariant
Authors: das, kinkar
Xu, Kexiang
Gutman, Ivan
Issue Date: 2012
Abstract: Let G be a connected graph of order n with Laplacian eigenvalues μ1≥ μ2≥⋯≥μn- 1> μn=0. The Kirchhoff index and the Laplacian-energy-like invariant of G are defined as Kf=n∑k=1n-11/ μk and LEL=∑k=1n-1 μk, respectively. We compare Kf and LEL and establish two sufficient conditions under which LEL<Kf. The connected graphs of order n with nine greatest Kirchhoff indices are determined; for these LEL>Kf holds. © 2011 Elsevier Inc. All rights reserved.
URI: https://scidar.kg.ac.rs/handle/123456789/10585
Type: article
DOI: 10.1016/j.laa.2012.01.002
ISSN: 0024-3795
SCOPUS: 2-s2.0-84858000648
Appears in Collections:Faculty of Science, Kragujevac

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