On lower bounds for the Kirchhoff index

Let G be a simple graph of order n ≥ 2 with m edges. Denote by d1 ≥ d2 ≥ · · · ≥ dn > 0 the sequence of vertex degrees and by μ1 ≥ μ2 ≥ · · · ≥ μn−1 > μn = 0 the Laplacian eigenvalues of the graph G. Lower bounds for the Kirchhoff index, Kf(G) = n Σ −1 i=1 1 μi, are obtained....

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Bibliographic Details
Main Authors: Milovanović I.Ž. 0000-0003-2209-9606, Milovanović E.I.
Format: Article
Language:English
Published: University of Kragujevac, Faculty of Science 2017-01-01
Series:Kragujevac Journal of Science
Online Access:http://scindeks-clanci.ceon.rs/data/pdf/1450-9636/2017/1450-96361739077M.pdf