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Journals / Hacettepe Journal of Mathematics and Statistics / 2017 / Cilt: 46 - Sayı: 4

The frst Zagreb and forgotten topological indices of d-ary trees

Ramin KAZEMİ
Ali BEHTOEİ
Pages
603–611
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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

Also, we obtain some usefulrelations and equalities related to these indices and other graphicalparameters.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The rst Zagreb index of a graph is equal to the sum of the square ofthe vertex degrees of the graph and the forgotten topological index (Findex)of a graph is dened as the sum of cubes of the vertex degrees ofthe graph.
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Key Findings & Data:For any xed integer d ≥ 2, the d-ary tree is a rooted treein which each node has no more than d children.
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Conclusion & Impact:Also, we obtain some usefulrelations and equalities related to these indices and other graphicalparameters.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

The rst Zagreb index of a graph is equal to the sum of the square ofthe vertex degrees of the graph and the forgotten topological index (Findex)of a graph is dened as the sum of cubes of the vertex degrees ofthe graph. These parameters have applications in chemistry and drugstructures. For any xed integer d ≥ 2, the d-ary tree is a rooted treein which each node has no more than d children. We determine themean value of these indices in d-ary trees. Also, we obtain some usefulrelations and equalities related to these indices and other graphicalparameters.

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Cite This Article

KAZEMİ, R., BEHTOEİ, A. (2022). The frst Zagreb and forgotten topological indices of d-ary trees. Hacettepe Journal of Mathematics and Statistics, Cilt: 46 - Sayı: 4, 603–611. https://ajindex.com/articles/529939

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