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Journals / Turkish Journal of Mathematics and Computer Science / 2026 / Volume: 13 Issue: 1

Zagreb Energy of Weighted Graphs

N. Feyza Yalçın(Harran University)0000-0001-5705-8658
Ahmet Kılıç(HARRAN UNIVERSITY)0000-0001-9073-4339
Pages
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Publication Date
2021-06-30
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AI Summary & Key Takeaways

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

Also some bounds are obtained for number weighted and unweighted graphs.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, first Zagreb and second Zagreb matrices are defined for weighted graphs and accordingly the first Zagreb and second Zagreb energy of weighted graphs are introduced.
📊
Key Findings & Data:Moreover, some upper and lower bounds are presented for Zagreb energy of positive definite matrix weighted graphs.
💡
Conclusion & Impact:Also some bounds are obtained for number weighted and unweighted graphs.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Weighted graph · graph energy · Zagreb energy

Abstract

In this paper, first Zagreb and second Zagreb matrices are defined for weighted graphs and accordingly the first Zagreb and second Zagreb energy of weighted graphs are introduced. Moreover, some upper and lower bounds are presented for Zagreb energy of positive definite matrix weighted graphs. Also some bounds are obtained for number weighted and unweighted graphs.

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Cite This Article

Yalçın, N. F., Kılıç, A. (2021). Zagreb Energy of Weighted Graphs. Turkish Journal of Mathematics and Computer Science, Volume: 13 Issue: 1. https://doi.org/10.47000/tjmcs.886707

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