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Journals / Fundamental Journal of Mathematics and Applications / 2026 / Volume: 8 Issue: 1

Lower and Upper Bounds for Some Degree-Based Indices of Graphs

Gül Özkan Kızılırmak(GAZİ ÜNİVERSİTESİ)0000-0003-3263-8685
Emre Sevgi(GAZİ ÜNİVERSİTESİ)0000-0003-2711-9880
Şerife Büyükköse(GAZİ ÜNİVERSİTESİ)0000-0001-7629-4277
İsmail Naci Cangül(Bursa Uludağ Üniversitesi)0000-0002-0700-5774
Pages
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Publication Date
2025-03-31
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AI Summary & Key Takeaways

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

We obtain upper and lower bounds for these indices and investigate for the complete graphs, path graphs and Fibonacci-sum graphs.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Topological indices are mathematical measurements regarding the chemical structures of any simple finite graph.
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Key Findings & Data:These are used for QSAR and QSPR studies.
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Conclusion & Impact:We obtain upper and lower bounds for these indices and investigate for the complete graphs, path graphs and Fibonacci-sum graphs.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Graph · Fibonacci-sum graph · Topological graph index

Abstract

Topological indices are mathematical measurements regarding the chemical structures of any simple finite graph. These are used for QSAR and QSPR studies. We get bounds for some degree based topological indices of a graph using solely the vertex degrees. We obtain upper and lower bounds for these indices and investigate for the complete graphs, path graphs and Fibonacci-sum graphs.

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Cite This Article

Kızılırmak, G. Ö., Sevgi, E., Büyükköse, Ş., Cangül, İ. N. (2025). Lower and Upper Bounds for Some Degree-Based Indices of Graphs. Fundamental Journal of Mathematics and Applications, Volume: 8 Issue: 1. https://doi.org/10.33401/fujma.1366063

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