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Research Article | Open Access

On trees with a given number of segments and their maximum general Z-type index

Hicham Saber1, Zahid Raza2, Abdulaziz M. Alanazi3, Adel A. Attiya1, Akbar Ali1( )
Department of Mathematics, College of Science, University of Ha'il, Ha'il, Saudi Arabia
Department of Mathematics, College of Sciences, University of Sharjah, Sharjah, UAE
Department of Mathematics, Faculty of Sciences, University of Tabuk, Tabuk, Saudi Arabia
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Abstract

The general Z-type index is a molecular descriptor, introduced recently by Chen and Lin [Discrete Optim., 50 (2023), 100808], which generalizes several well-known molecular descriptors, including the (general) sum-connectivity index and (general) Platt index. The primary objective of the current paper is to study the largest value of the general Z-type index of graphs in the class of all fixed-order trees (and chemical trees) with a particular number of segments.

Keywords

topological indexextremal graphsgeneral Platt indexsegmentmolecular descriptors
CLC number: 05C05, 05C07; 05C09; 05C35; 05C92

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AIMS Mathematics
Volume 10 Issue 1,
January 2025
Pages 195-207
DOI: 10.3934/math.2025010

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Cite this article:
Saber H, Raza Z, Alanazi AM, et al. On trees with a given number of segments and their maximum general Z-type index. AIMS Mathematics, 2025, 10(1): 195-207. https://doi.org/10.3934/math.2025010

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Received: 15 November 2024
Revised: 07 December 2024
Accepted: 07 December 2024
Published: 15 January 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)