On arithmetic-geometric and geometric-arithmetic indices of graphs

DOI10.7153/jmi-2023-17-103OpenAlexW4391457244MaRDI QIDQ6200316

Emina I. Milovanović, Akbar Ali, Unnamed Author, Zahid Raza, Igor Ž. Milovanović, Marjan M. Matejić

Publication date: 29 February 2024

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2023-17-103

zbMATH Keywords

boundsdegree-based topological indicesgeometric-arithmetic indexarithmetic-geometric index

Mathematics Subject Classification ID

Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Connectivity (05C40) Vertex degrees (05C07) Graphical indices (Wiener index, Zagreb index, Randi? index, etc.) (05C09) Chemical graph theory (05C92)

Cites Work

• On the normalized Laplacian energy and general Randić index \(R_{-1}\) of graphs
• Topological index based on the ratios of geometrical and arithmetical means of end-vertex degrees of edges
• Relation between geometric-arithmetic and arithmetic-geometric indices
• On the inverse sum indeg index
• A forgotten topological index
• Arithmetic-geometric index and its relations with geometric-arithmetic index
• On the arithmetic-geometric index of graphs
• Some inequalities for general zeroth-order Randic index
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