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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 50 Issue: 3

Inequalities on the geometric-arithmetic index

Ana Granados(Saint Louis University, Madrid Campus)0000-0001-9775-8659
Ana Portilla(Saint Louis University, Madrid Campus)0000-0001-8008-8505
Jose Manuel Rodrıguez Garcıa(Universidad Carlos III de Madrid)0000-0003-2851-7442
Jose Sigarreta(Universidad Automoma de Guerrero)0000-0003-4352-5109
Pages
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Publication Date
2021-06-07
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The objective of the work we present here is twofold: First, obtaining new relations connecting the geometric-arithmetic index with other topological indices; second, to characterize graphs which are extremal with respect to those relations.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Although the notion of geometric-arithmetic index has been introduced in the chemical graph theory these past years, it has already proved to be useful.
📊
Key Findings & Data:Although the notion of geometric-arithmetic index has been introduced in the chemical graph theory these past years, it has already proved to be useful.
💡
Conclusion & Impact:The objective of the work we present here is twofold: First, obtaining new relations connecting the geometric-arithmetic index with other topological indices; second, to characterize graphs which are extremal with respect to those relations.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:geometric-arithmetic index · vertex-degree-based topological index · variable Zagreb index

Abstract

Although the notion of geometric-arithmetic index has been introduced in the chemical graph theory these past years, it has already proved to be useful. The objective of the work we present here is twofold: First, obtaining new relations connecting the geometric-arithmetic index with other topological indices; second, to characterize graphs which are extremal with respect to those relations.

🔖

Cite This Article

Granados, A., Portilla, A., Garcıa, J. M. R., Sigarreta, J. (2021). Inequalities on the geometric-arithmetic index. Hacettepe Journal of Mathematics and Statistics, Volume: 50 Issue: 3. https://doi.org/10.15672/hujms.749744

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