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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Hindawi Limited
2021
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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) |
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Mathematics QA1-939 |
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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 |
_version_ |
1718407704100208640 |