Bounds of Degree-Based Molecular Descriptors for Generalized F-sum Graphs

A molecular descriptor is a mathematical measure that associates a molecular graph with some real numbers and predicts the various biological, chemical, and structural properties of the underlying molecular graph. Wiener (1947) and Trinjastic and Gutman (1972) used molecular descriptors to find the...

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Main Authors: Jia Bao Liu, Sana Akram, Muhammad Javaid, Abdul Raheem, Roslan Hasni
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2021/8821020
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author Jia Bao Liu
Sana Akram
Muhammad Javaid
Abdul Raheem
Roslan Hasni
author_facet Jia Bao Liu
Sana Akram
Muhammad Javaid
Abdul Raheem
Roslan Hasni
author_sort Jia Bao Liu
collection DOAJ
description A molecular descriptor is a mathematical measure that associates a molecular graph with some real numbers and predicts the various biological, chemical, and structural properties of the underlying molecular graph. Wiener (1947) and Trinjastic and Gutman (1972) used molecular descriptors to find the boiling point of paraffin and total π-electron energy of the molecules, respectively. For molecular graphs, the general sum-connectivity and general Randić are well-studied fundamental topological indices (TIs) which are considered as degree-based molecular descriptors. In this paper, we obtain the bounds of the aforesaid TIs for the generalized F-sum graphs. The foresaid TIs are also obtained for some particular classes of the generalized F-sum graphs as the consequences of the obtained results. At the end, 3 D-graphical presentations are also included to illustrate the results for better understanding.
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institution Kabale University
issn 1026-0226
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language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-8aefadd0204d4fe4adb0e5546bfef58d2025-02-03T01:29:21ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2021-01-01202110.1155/2021/88210208821020Bounds of Degree-Based Molecular Descriptors for Generalized F-sum GraphsJia Bao Liu0Sana Akram1Muhammad Javaid2Abdul Raheem3Roslan Hasni4School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, ChinaDepartment of Mathematics, School of Science, University of Management and Technology, Lahore, PakistanDepartment of Mathematics, School of Science, University of Management and Technology, Lahore, PakistanHigher Education Department, Government Post Graduate College, Asghar Mall, Rawalpindi, PakistanFaculty of Ocean Engineering Technology and Informatics, University Malaysia Terengganu, Kuala Terengganu, MalaysiaA molecular descriptor is a mathematical measure that associates a molecular graph with some real numbers and predicts the various biological, chemical, and structural properties of the underlying molecular graph. Wiener (1947) and Trinjastic and Gutman (1972) used molecular descriptors to find the boiling point of paraffin and total π-electron energy of the molecules, respectively. For molecular graphs, the general sum-connectivity and general Randić are well-studied fundamental topological indices (TIs) which are considered as degree-based molecular descriptors. In this paper, we obtain the bounds of the aforesaid TIs for the generalized F-sum graphs. The foresaid TIs are also obtained for some particular classes of the generalized F-sum graphs as the consequences of the obtained results. At the end, 3 D-graphical presentations are also included to illustrate the results for better understanding.http://dx.doi.org/10.1155/2021/8821020
spellingShingle Jia Bao Liu
Sana Akram
Muhammad Javaid
Abdul Raheem
Roslan Hasni
Bounds of Degree-Based Molecular Descriptors for Generalized F-sum Graphs
Discrete Dynamics in Nature and Society
title Bounds of Degree-Based Molecular Descriptors for Generalized F-sum Graphs
title_full Bounds of Degree-Based Molecular Descriptors for Generalized F-sum Graphs
title_fullStr Bounds of Degree-Based Molecular Descriptors for Generalized F-sum Graphs
title_full_unstemmed Bounds of Degree-Based Molecular Descriptors for Generalized F-sum Graphs
title_short Bounds of Degree-Based Molecular Descriptors for Generalized F-sum Graphs
title_sort bounds of degree based molecular descriptors for generalized f sum graphs
url http://dx.doi.org/10.1155/2021/8821020
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