Dergiler / Turkish Journal of Mathematics / 2017 / Cilt: 41 - Sayı: 6

On the bounds of the forgotten topological index

Sayfa
1687–1702
Yayın Tarihi
2022-11-05
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, we correct the number of extremal chemical trees on 15 vertices.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The forgotten topological index is defined as the sum of cubes of the degrees of the vertices of the molecular graph $G.$ In this paper, we obtain, analyze, and compare various lower bounds for the forgotten topological index involving the number of vertices, edges, and maximum and minimum vertex degree.
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Temel Bulgular & Veri:Then we give Nordhaus--Gaddum-type inequalities for the forgotten topological index and coindex.
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Sonuç & Katkı:Finally, we correct the number of extremal chemical trees on 15 vertices.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:First Zagreb index · second Zagreb index · forgotten topological index

Abstract

The forgotten topological index is defined as the sum of cubes of the degrees of the vertices of the molecular graph $G.$ In this paper, we obtain, analyze, and compare various lower bounds for the forgotten topological index involving the number of vertices, edges, and maximum and minimum vertex degree. Then we give Nordhaus--Gaddum-type inequalities for the forgotten topological index and coindex. Finally, we correct the number of extremal chemical trees on 15 vertices.

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Bu Makaleye Atıf Yap

ELUMALAI, S., MANSOUR, T., ROSTAMI, M. A. (2022). On the bounds of the forgotten topological index. Turkish Journal of Mathematics, Cilt: 41 - Sayı: 6, 1687–1702. https://ajindex.com/articles/607979

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