Computing Gutman Connection Index of Thorn Graphs

Chemical structural formula can be represented by chemical graphs in which atoms are considered as vertices and bonds between them are considered as edges. A topological index is a real value that is numerically obtained from a chemical graph to predict its various physical and chemical properties....

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Autores principales: Muhammad Javaid, Muhammad Khubab Siddique, Ebenezer Bonyah
Formato: article
Lenguaje:EN
Publicado: Hindawi Limited 2021
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Acceso en línea:https://doaj.org/article/4b844e4fe0704b4f999a373c6135609a
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spelling oai:doaj.org-article:4b844e4fe0704b4f999a373c6135609a2021-11-29T00:55:55ZComputing Gutman Connection Index of Thorn Graphs2314-478510.1155/2021/2289514https://doaj.org/article/4b844e4fe0704b4f999a373c6135609a2021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/2289514https://doaj.org/toc/2314-4785Chemical structural formula can be represented by chemical graphs in which atoms are considered as vertices and bonds between them are considered as edges. A topological index is a real value that is numerically obtained from a chemical graph to predict its various physical and chemical properties. Thorn graphs are obtained by attaching pendant vertices to the different vertices of a graph under certain conditions. In this paper, a numerical relation between the Gutman connection (GC) index of a graph and its thorn graph is established. Moreover, the obtained result is also illustrated by computing the GC index for the particular families of the thorn graphs such as thorn paths, thorn rods, thorn stars, and thorn rings.Muhammad JavaidMuhammad Khubab SiddiqueEbenezer BonyahHindawi LimitedarticleMathematicsQA1-939ENJournal of Mathematics, Vol 2021 (2021)
institution DOAJ
collection DOAJ
language EN
topic Mathematics
QA1-939
spellingShingle Mathematics
QA1-939
Muhammad Javaid
Muhammad Khubab Siddique
Ebenezer Bonyah
Computing Gutman Connection Index of Thorn Graphs
description Chemical structural formula can be represented by chemical graphs in which atoms are considered as vertices and bonds between them are considered as edges. A topological index is a real value that is numerically obtained from a chemical graph to predict its various physical and chemical properties. Thorn graphs are obtained by attaching pendant vertices to the different vertices of a graph under certain conditions. In this paper, a numerical relation between the Gutman connection (GC) index of a graph and its thorn graph is established. Moreover, the obtained result is also illustrated by computing the GC index for the particular families of the thorn graphs such as thorn paths, thorn rods, thorn stars, and thorn rings.
format article
author Muhammad Javaid
Muhammad Khubab Siddique
Ebenezer Bonyah
author_facet Muhammad Javaid
Muhammad Khubab Siddique
Ebenezer Bonyah
author_sort Muhammad Javaid
title Computing Gutman Connection Index of Thorn Graphs
title_short Computing Gutman Connection Index of Thorn Graphs
title_full Computing Gutman Connection Index of Thorn Graphs
title_fullStr Computing Gutman Connection Index of Thorn Graphs
title_full_unstemmed Computing Gutman Connection Index of Thorn Graphs
title_sort computing gutman connection index of thorn graphs
publisher Hindawi Limited
publishDate 2021
url https://doaj.org/article/4b844e4fe0704b4f999a373c6135609a
work_keys_str_mv AT muhammadjavaid computinggutmanconnectionindexofthorngraphs
AT muhammadkhubabsiddique computinggutmanconnectionindexofthorngraphs
AT ebenezerbonyah computinggutmanconnectionindexofthorngraphs
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