Investigation of Atom-Bond Connectivity Indices of Line Graphs Using Subdivision Approach

A topological index is a numerical measure that characterises the whole structure of a graph. Based on vertex degrees, the idea of an atom-bond connectivity ABC index was introduced in chemical graph theory. Later, different versions of the ABC index were created, and some of these indices were rece...

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Published inMathematical problems in engineering Vol. 2022; pp. 1 - 9
Main Authors Husin, Mohamad Nazri, Zafar, Sohail, Gobithaasan, R. U.
Format Journal Article
LanguageEnglish
Published New York Hindawi 17.06.2022
John Wiley & Sons, Inc
Subjects
Connectivity
Graph theory
Graphs
Mathematical problems
Online AccessGet full text
ISSN1024-123X
1563-5147
DOI10.1155/2022/6219155

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Abstract A topological index is a numerical measure that characterises the whole structure of a graph. Based on vertex degrees, the idea of an atom-bond connectivity ABC index was introduced in chemical graph theory. Later, different versions of the ABC index were created, and some of these indices were recently designed. In this paper, we present the edge version of the atom-bond connectivity ABCe index, edge version of the multiplicative atom-bond connectivity ABCIIe index, and atom-bond connectivity temperature (ABCT) index for the line graph of subdivision graph of tadpole graph Tn,k, ladder graph Ln, and wheel graph Wn+1. Numerical simulation has also been shown for some novel families of atom-bond connectivity index comparing the three types of indices which can be useful for QSAR and QSPR studies.
AbstractList A topological index is a numerical measure that characterises the whole structure of a graph. Based on vertex degrees, the idea of an atom-bond connectivity A B C index was introduced in chemical graph theory. Later, different versions of the ABC index were created, and some of these indices were recently designed. In this paper, we present the edge version of the atom-bond connectivity A B C e index, edge version of the multiplicative atom-bond connectivity A B C I I e index, and atom-bond connectivity temperature ( A B C T ) index for the line graph of subdivision graph of tadpole graph T n , k , ladder graph L n , and wheel graph W n + 1 . Numerical simulation has also been shown for some novel families of atom-bond connectivity index comparing the three types of indices which can be useful for QSAR and QSPR studies.
A topological index is a numerical measure that characterises the whole structure of a graph. Based on vertex degrees, the idea of an atom-bond connectivity ABC index was introduced in chemical graph theory. Later, different versions of the ABC index were created, and some of these indices were recently designed. In this paper, we present the edge version of the atom-bond connectivity ABCe index, edge version of the multiplicative atom-bond connectivity ABCIIe index, and atom-bond connectivity temperature (ABCT) index for the line graph of subdivision graph of tadpole graph Tn,k, ladder graph Ln, and wheel graph Wn+1. Numerical simulation has also been shown for some novel families of atom-bond connectivity index comparing the three types of indices which can be useful for QSAR and QSPR studies.
Author Husin, Mohamad Nazri
Zafar, Sohail
Gobithaasan, R. U.
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Copyright Copyright © 2022 Mohamad Nazri Husin et al.
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– notice: Copyright © 2022 Mohamad Nazri Husin et al. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. https://creativecommons.org/licenses/by/4.0
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Snippet A topological index is a numerical measure that characterises the whole structure of a graph. Based on vertex degrees, the idea of an atom-bond connectivity...
A topological index is a numerical measure that characterises the whole structure of a graph. Based on vertex degrees, the idea of an atom-bond connectivity A...
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SubjectTerms Connectivity
Graph theory
Graphs
Mathematical problems
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Title Investigation of Atom-Bond Connectivity Indices of Line Graphs Using Subdivision Approach
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