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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
In the same paper, we provide the equality cases for Theorems 3, 5, and 6.
📌 3 Key Takeaways
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Objective & Hypothesis:The Randic index $(R)$ and the geometric--arithmetic index $(GA)$ are found to be useful tools in QSPR and QSAR studies.
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Key Findings & Data:In the Journal of Inequalities and Applications 180, 1-7, Lokesha, Shwetha Shetty, Ranjini, Cangul, and Cevik gave "New bounds for Randic and GA indices." In the paper, we first point out that Theorems 1, 2, and 4 are incorrect and in this short note we present the correct inequalities for Randic and GA indices.
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Conclusion & Impact:In the same paper, we provide the equality cases for Theorems 3, 5, and 6.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Randic index · geometric--arithmetic index · Zagreb index
Abstract
The Randic index $(R)$ and the geometric--arithmetic index $(GA)$ are found to be useful tools in QSPR and QSAR studies. In the Journal of Inequalities and Applications 180, 1-7, Lokesha, Shwetha Shetty, Ranjini, Cangul, and Cevik gave "New bounds for Randic and GA indices." In the paper, we first point out that Theorems 1, 2, and 4 are incorrect and in this short note we present the correct inequalities for Randic and GA indices. In the same paper, we provide the equality cases for Theorems 3, 5, and 6.
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Cite This Article
MANSOUR, T., ROSTAMI, M. A., ELUMALAI, S., XAVIER, B. A. (2017). Correcting a paper on the Randic and geometric-arithmetic indices. Turkish Journal of Mathematics, Cilt: 41 - Sayı: 1, 27–32. https://ajindex.com/articles/723230