Comparison between Kirchhoff index and the Laplacian-energy-like invariant

Please use this identifier to cite or link to this item: https://scidar.kg.ac.rs/handle/123456789/10585

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DC Field	Value	Language
dc.contributor.author	das, kinkar	-
dc.contributor.author	Xu, Kexiang	-
dc.contributor.author	Gutman, Ivan	-
dc.date.accessioned	2021-04-20T16:08:06Z	-
dc.date.available	2021-04-20T16:08:06Z	-
dc.date.issued	2012	-
dc.identifier.issn	0024-3795	-
dc.identifier.uri	https://scidar.kg.ac.rs/handle/123456789/10585	-
dc.description.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.	-
dc.rights	restrictedAccess	-
dc.source	Linear Algebra and Its Applications	-
dc.title	Comparison between Kirchhoff index and the Laplacian-energy-like invariant	-
dc.type	article	-
dc.identifier.doi	10.1016/j.laa.2012.01.002	-
dc.identifier.scopus	2-s2.0-84858000648	-
Appears in Collections:	Faculty of Science, Kragujevac

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