An Approach to the Extremal Inverse Degree Index for Families of Graphs with Transformation Effect

An Approach to the Extremal Inverse Degree Index for Families of Graphs with Transformation Effect

The inverse degree index is a topological index first appeared as a conjuncture made by computer program Graffiti in 1988. In this work, we use transformations over graphs and characterize the inverse degree index for these transformed families of graphs. We established bonds for different families...

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Main Authors: Muhammad Asif, Muhammad Hussain, Hamad Almohamedh, Khalid M. Alhamed, Sultan Almotairi
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Chemistry
Online Access:http://dx.doi.org/10.1155/2021/6657039
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spelling doaj-9522763b8a744a7889de3da8c314ee0b2021-03-08T02:01:20ZengHindawi LimitedJournal of Chemistry2090-90712021-01-01202110.1155/2021/6657039An Approach to the Extremal Inverse Degree Index for Families of Graphs with Transformation EffectMuhammad Asif0Muhammad Hussain1Hamad Almohamedh2Khalid M. Alhamed3Sultan Almotairi4Department of MathematicsDepartment of MathematicsFaculty of King Abdulaziz City for Science and Technology (KACST) RiyadhIT Programs CenterDepartment of Natural and Applied SciencesThe inverse degree index is a topological index first appeared as a conjuncture made by computer program Graffiti in 1988. In this work, we use transformations over graphs and characterize the inverse degree index for these transformed families of graphs. We established bonds for different families of n-vertex connected graph with pendent paths of fixed length attached with fully connected vertices under the effect of transformations applied on these paths. Moreover, we computed exact values of the inverse degree index for regular graph specifically unicyclic graph.http://dx.doi.org/10.1155/2021/6657039
collection DOAJ
language English
format Article
sources DOAJ
author Muhammad Asif
Muhammad Hussain
Hamad Almohamedh
Khalid M. Alhamed
Sultan Almotairi
spellingShingle Muhammad Asif
Muhammad Hussain
Hamad Almohamedh
Khalid M. Alhamed
Sultan Almotairi
An Approach to the Extremal Inverse Degree Index for Families of Graphs with Transformation Effect
Journal of Chemistry
author_facet Muhammad Asif
Muhammad Hussain
Hamad Almohamedh
Khalid M. Alhamed
Sultan Almotairi
author_sort Muhammad Asif
title An Approach to the Extremal Inverse Degree Index for Families of Graphs with Transformation Effect
title_short An Approach to the Extremal Inverse Degree Index for Families of Graphs with Transformation Effect
title_full An Approach to the Extremal Inverse Degree Index for Families of Graphs with Transformation Effect
title_fullStr An Approach to the Extremal Inverse Degree Index for Families of Graphs with Transformation Effect
title_full_unstemmed An Approach to the Extremal Inverse Degree Index for Families of Graphs with Transformation Effect
title_sort approach to the extremal inverse degree index for families of graphs with transformation effect
publisher Hindawi Limited
series Journal of Chemistry
issn 2090-9071
publishDate 2021-01-01
description The inverse degree index is a topological index first appeared as a conjuncture made by computer program Graffiti in 1988. In this work, we use transformations over graphs and characterize the inverse degree index for these transformed families of graphs. We established bonds for different families of n-vertex connected graph with pendent paths of fixed length attached with fully connected vertices under the effect of transformations applied on these paths. Moreover, we computed exact values of the inverse degree index for regular graph specifically unicyclic graph.
url http://dx.doi.org/10.1155/2021/6657039
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