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Journals / Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2026 / Cilt: 26 Sayı: 1

Effect of edge addition on reduced second Zagreb Index and hyper-Zagreb Index

Kenar eklemenin indirgenmiş ikinci Zagreb indeks ve hyper-Zagreb indeks üzerine etkisi

Aysun Yurttas Gunes(BURSA ULUDAĞ ÜNİVERSİTESİ, FEN-EDEBİYAT FAKÜLTESİ, MATEMATİK BÖLÜMÜ)0000-0001-8873-1999
Pages
196–202
Publication Date
2024-01-19
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AI Summary & Key Takeaways

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

In this work, we studied the effects of adding a new edge to a graph on the reduced second Zagreb index and hyper-Zagreb index.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Vertex and edge addition/deletion to a given graph is a useful method to study several required properties of a given graph or graph class.
📊
Key Findings & Data:Successively applying these methods, one can obtain such information on a large graph by means of smaller graphs.
💡
Conclusion & Impact:In this work, we studied the effects of adding a new edge to a graph on the reduced second Zagreb index and hyper-Zagreb index.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:İndirgenmiş ikinci Zagreb indeks · hyper-Zagreb indeks · kenar ekleme

Abstract

Vertex and edge addition/deletion to a given graph is a useful method to study several required properties of a given graph or graph class. Successively applying these methods, one can obtain such information on a large graph by means of smaller graphs. In this work, we studied the effects of adding a new edge to a graph on the reduced second Zagreb index and hyper-Zagreb index.

Özet

Bir grafa kenar/köşe ekleme ya da bir graftan kenar/köşe silme işlemi, verilen bir graf ya da graf sınıfının gerekli birçok özelliğini çalışmada oldukça kullanışlı bir yöntemdir. Bu yöntemi art arda uygulayarak daha küçük graftan elde edilen daha büyük bir graf hakkında bilgi edinilebilir. Bu çalışmada, bir grafa yeni bir kenar eklemenin indirgenmiş ikinci Zagreb indeks ve hyper-Zagreb indeks üzerine etkisi incelenmiştir.

🔖

Cite This Article

Gunes, A. Y. (2024). Effect of edge addition on reduced second Zagreb Index and hyper-Zagreb Index. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 26 Sayı: 1, 196–202. https://doi.org/10.25092/baunfbed.1367671

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