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Journals / Hacettepe Journal of Mathematics and Statistics / 2021 / Cilt: 50 - Sayı: 3

Inequalities on the geometric-arithmetic index

Ana GRANADOS
Ana PORTILLA
Jose M. RODRIGUEZ
Jose M. SIGARRETA
Pages
778–794
Publication Date
2022-10-18
DOI
—
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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., RODRIGUEZ, J. M., SIGARRETA, J. M. (2022). Inequalities on the geometric-arithmetic index. Hacettepe Journal of Mathematics and Statistics, Cilt: 50 - Sayı: 3, 778–794. https://ajindex.com/articles/529534

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