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Journals / Bilgisayar Bilimleri / 2026 / Cilt: 9 Sayı: Issue:1

Level Polynomials of Rooted Trees

Köklü Ağaçların Seviye Polinomları

Bünyamin Şahin(Selçuk Üniversitesi)0000-0003-1094-5481
Pages
72–83
Publication Date
2024-06-06
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AI Summary & Key Takeaways

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

We obtain some interesting relations between the level polynomials and some integer sequences.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Level index was introduced in 2017 for rooted trees which is a component of Gini index.
📊
Key Findings & Data:In the origin, Gini index is a tool for economical investigations but Balaji and Mahmoud defined the graph theoretical applications of this index for statistical analysis of graphs.
💡
Conclusion & Impact:We obtain some interesting relations between the level polynomials and some integer sequences.
🔬Design:Araştırma Makalesi
📍Scope:2017 Verileri
⚙️Variables:Seviye İndeksi · Seviye Polinomları · Üçgensel Sayılar

Abstract

Level index was introduced in 2017 for rooted trees which is a component of Gini index. In the origin, Gini index is a tool for economical investigations but Balaji and Mahmoud defined the graph theoretical applications of this index for statistical analysis of graphs. Level index is an important component of Gini index. In this paper we define a new graph polynomial which is called level polynomial and calculate the level polynomial of some classes of trees. We obtain some interesting relations between the level polynomials and some integer sequences.

Özet

Level index was introduced in 2017 for rooted trees which is a component of Gini index. In the origin, Gini index is a tool for economical investigations but Balaji and Mahmoud defined the graph theoretical applications of this index for statistical analysis of graphs. Level index is an important component of Gini index. In this paper we define a new graph polynomial which is called level polynomial and calculate the level polynomial of some classes of trees. We obtain some interesting relations between the level polynomials and some integer sequences.

🔖

Cite This Article

Şahin, B. (2024). Level Polynomials of Rooted Trees. Bilgisayar Bilimleri, Cilt: 9 Sayı: Issue:1, 72–83. https://doi.org/10.53070/bbd.1469625

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References (12)

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