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

Köklü Ağaçların Seviye Polinomları

Level Polynomials of Rooted Trees

Bünyamin Şahin(Selçuk Üniversitesi)0000-0003-1094-5481
Sayfa
72–83
Yayın Tarihi
2024-06-06
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Level index was introduced in 2017 for rooted trees which is a component of Gini index.
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Temel Bulgular & Veri: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.
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Sonuç & Katkı:We obtain some interesting relations between the level polynomials and some integer sequences.
🔬Tür:Araştırma Makalesi
📍Kapsam:2017 Verileri
⚙️Değişkenler:Seviye İndeksi · Seviye Polinomları · Üçgensel Sayılar

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.

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.

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Bu Makaleye Atıf Yap

Şahin, B. (2024). Köklü Ağaçların Seviye Polinomları. Bilgisayar Bilimleri, Cilt: 9 Sayı: Issue:1, 72–83. https://doi.org/10.53070/bbd.1469625

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Kaynakça (12)

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