Extremal augmented Zagreb index of trees with given numbers of vertices and leaves

DOI10.1016/j.disc.2021.112753zbMath1482.05048OpenAlexW4200594154MaRDI QIDQ2075506

Chaohui Chen, Xiaofeng Gu, Muhuo Liu, Kinkar Chandra Das

Publication date: 14 February 2022

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2021.112753

zbMATH Keywords

extremal graphstopological indexatom-bond connectivity indexchemical graph theoryaugmented Zagreb index

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Vertex degrees (05C07) Graphical indices (Wiener index, Zagreb index, Randi? index, etc.) (05C09) Chemical graph theory (05C92)

Related Items (4)

The \(k\)-apex trees with minimum augmented Zagreb index ⋮ The minimum Sombor index of trees with given number of pendant vertices ⋮ Lower bounds on the general first Zagreb index of graphs with low cyclomatic number ⋮ Lower bounds on the irregularity of trees and unicyclic graphs

Cites Work

• Degree-based topological indices: optimal trees with given number of pendents
• Maximum atom-bond connectivity index with given graph parameters
• Which tree has the smallest ABC index among trees with \(k\) leaves?
• The Laplacian spectral radii of trees with degree sequences
• Atom-bond connectivity index of trees
• On the ABC index of connected graphs with given degree sequences
• Extremal graphs with respect to generalized ABC index
• Augmented Zagreb index
• The evolution of the structure of ABC-minimal trees
• Erratum to "Complete Characterization of Trees with Maximal Augmented Zagreb Index"
• The structure of ABC-minimal trees with given number of leaves
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