Bounds for the augmented Zagreb and the atom-bond connectivity indices

DOI10.1016/j.amc.2017.03.009zbMath1411.05149OpenAlexW2599378588MaRDI QIDQ1736126

José Luis Palacios

Publication date: 29 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2017.03.009

zbMATH Keywords

majorizationatom-bond connectivity indexFoster's theoremaugmented Zagreb index

Mathematics Subject Classification ID

Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Connectivity (05C40)

Related Items (8)

On the maximal general ABC index of graphs with given maximum degree ⋮ Maximal augmented Zagreb index of trees with given diameter ⋮ On the maximum ABC index of graphs without pendent vertices ⋮ Some new lower bounds for augmented Zagreb index ⋮ Correction to: ``Bounds for the augmented Zagreb and the atom-bond connectivity indices ⋮ Augmented Zagreb index of trees and unicyclic graphs with perfect matchings ⋮ Computer search for large trees with minimal \(\mathrm{ABC}\) index ⋮ Atom–bond connectivity index of graphs: a review over extremal results and bounds

Cites Work

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• Atom-bond connectivity index of trees
• Augmented Zagreb index
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• On a new cyclicity measure of graphs -- the global cyclicity index
• On atom-bond connectivity index
• Majorization under constraints and bounds on the second Zagreb index
• Inequalities: theory of majorization and its applications

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