Characterization of Extremal Unicyclic Graphs Using F-Coindex

The study of forgotten index and coindex for the molecular structures of some special chemical graphs (compounds and drugs) has proven significant in medical and pharmaceutical drug design fields by making reliable statistical conclusion about biological properties of new chemical compounds and drug...

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Main Authors: Muhammad Imran, Yasir Ali, Zainab Bibi, Muhammad Saad Ghafar
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2021/8480971
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author Muhammad Imran
Yasir Ali
Zainab Bibi
Muhammad Saad Ghafar
author_facet Muhammad Imran
Yasir Ali
Zainab Bibi
Muhammad Saad Ghafar
author_sort Muhammad Imran
collection DOAJ
description The study of forgotten index and coindex for the molecular structures of some special chemical graphs (compounds and drugs) has proven significant in medical and pharmaceutical drug design fields by making reliable statistical conclusion about biological properties of new chemical compounds and drugs. In mathematical chemistry, finding extreme graphs with respect to topological index is an active area of research. The aim of this paper is to characterize the family of unicyclic graphs with extreme (largest and smallest) F-coindex. Moreover, the study also contains different other properties of unicyclic graphs. All these results are based upon an alternative form of F-coindex which is established with the help of special property in the graphs.
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institution Kabale University
issn 1076-2787
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language English
publishDate 2021-01-01
publisher Wiley
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series Complexity
spelling doaj-art-b74cf9433d424e5c89becda709fc4f892025-02-03T06:12:49ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/84809718480971Characterization of Extremal Unicyclic Graphs Using F-CoindexMuhammad Imran0Yasir Ali1Zainab Bibi2Muhammad Saad Ghafar3Department of Mathematical Sciences, United Arab Emirates University, P.O. Box 15551, Al Ain, UAECollege of Electrical and Mechanical Engineering, National University of Sciences and Technology, Islamabad, PakistanSchool of Natural Sciences, National University of Sciences and Technology, Islamabad, PakistanDepartment of Mathematics, National University of Modren Languages, Rawalpindi, PakistanThe study of forgotten index and coindex for the molecular structures of some special chemical graphs (compounds and drugs) has proven significant in medical and pharmaceutical drug design fields by making reliable statistical conclusion about biological properties of new chemical compounds and drugs. In mathematical chemistry, finding extreme graphs with respect to topological index is an active area of research. The aim of this paper is to characterize the family of unicyclic graphs with extreme (largest and smallest) F-coindex. Moreover, the study also contains different other properties of unicyclic graphs. All these results are based upon an alternative form of F-coindex which is established with the help of special property in the graphs.http://dx.doi.org/10.1155/2021/8480971
spellingShingle Muhammad Imran
Yasir Ali
Zainab Bibi
Muhammad Saad Ghafar
Characterization of Extremal Unicyclic Graphs Using F-Coindex
Complexity
title Characterization of Extremal Unicyclic Graphs Using F-Coindex
title_full Characterization of Extremal Unicyclic Graphs Using F-Coindex
title_fullStr Characterization of Extremal Unicyclic Graphs Using F-Coindex
title_full_unstemmed Characterization of Extremal Unicyclic Graphs Using F-Coindex
title_short Characterization of Extremal Unicyclic Graphs Using F-Coindex
title_sort characterization of extremal unicyclic graphs using f coindex
url http://dx.doi.org/10.1155/2021/8480971
work_keys_str_mv AT muhammadimran characterizationofextremalunicyclicgraphsusingfcoindex
AT yasirali characterizationofextremalunicyclicgraphsusingfcoindex
AT zainabbibi characterizationofextremalunicyclicgraphsusingfcoindex
AT muhammadsaadghafar characterizationofextremalunicyclicgraphsusingfcoindex