Generalizations of Szőkefalvi Nagy and Chebyshev inequalities with applications in spectral graph theory

DOI10.1016/j.amc.2017.05.064zbMath1426.26045OpenAlexW2734385320WikidataQ114310075 ScholiaQ114310075MaRDI QIDQ1740047

Boris Furtula, Ivan Gutman, Igor Ž. Milovanović, Kinkar Chandra Das, Emina I. Milovanović

Publication date: 29 April 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2017.05.064

zbMATH Keywords

topological indexChebyshev inequalityZagreb indicesdegree-based topological indexSzőkefalvi-Nagy inequality

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Inequalities for sums, series and integrals (26D15)

Related Items (9)

Unnamed Item ⋮ Minimal sample size in balanced ANOVA models of crossed, nested, and mixed classifications ⋮ SOME NEW LOWER BOUNDS FOR THE KIRCHHOFF INDEX OF A GRAPH ⋮ Unnamed Item ⋮ Unnamed Item ⋮ An inequality for the analysis of variance ⋮ Beyond the Zagreb indices ⋮ Some new bounds on the modified first Zagreb index ⋮ A note on some lower bounds of the Laplacian energy of a graph

Cites Work

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• Sharp bounds for the first Zagreb index and first Zagreb coindex
• Spectral Radius and Degree Sequence
• Some better bounds on the variance with applications

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