Quantifying some distance topological properties of the non-zero component graph

Several bioactivities of chemical compounds in a molecular graph can be expected by using many topological descriptors. A topological descriptor is a numeric quantity which quantify the topology of a graph. By defining the metric on a graph related with a vector space, we consider this graph in the...

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Main Authors: Fawaz E. Alsaadi, Faisal Ali, Imran Khalid, Masood Ur Rehman, Muhammad Salman, Madini Obad Alassafi, Jinde Cao
Format: Article
Language:English
Published: AIMS Press 2021-01-01
Series:AIMS Mathematics
Subjects:
Online Access:http://www.aimspress.com/article/doi/10.3934/math.2021209?viewType=HTML
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author Fawaz E. Alsaadi
Faisal Ali
Imran Khalid
Masood Ur Rehman
Muhammad Salman
Madini Obad Alassafi
Jinde Cao
author_facet Fawaz E. Alsaadi
Faisal Ali
Imran Khalid
Masood Ur Rehman
Muhammad Salman
Madini Obad Alassafi
Jinde Cao
author_sort Fawaz E. Alsaadi
collection DOAJ
description Several bioactivities of chemical compounds in a molecular graph can be expected by using many topological descriptors. A topological descriptor is a numeric quantity which quantify the topology of a graph. By defining the metric on a graph related with a vector space, we consider this graph in the context of few topological descriptors, and quantify the Wiener index, hyper Wiener index, Reciprocal complimentary Wiener index, Schultz molecular topological index and Harary index. We also provide the graphical comparison of our results to describe the relationship and dependence of these descriptors on the involved parameters.
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spelling doaj.art-4322e6962ddb4a378ee9bf708b4c2cdf2022-12-21T21:27:54ZengAIMS PressAIMS Mathematics2473-69882021-01-01643512352410.3934/math.2021209Quantifying some distance topological properties of the non-zero component graphFawaz E. Alsaadi0Faisal Ali1Imran Khalid 2Masood Ur Rehman3Muhammad Salman4Madini Obad Alassafi5Jinde Cao 61. Department of Information Technology, Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah, 21589, Saudi Arabia2. Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, 60800, Pakistan2. Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, 60800, Pakistan3. Department of Basic Sciences, Balochistan University of Engineering and Technology Khuzdar, Khuzdar, 89100, Pakistan4. Department of Mathematics, The Islamia University of Bahawalpur, 63100, Pakistan1. Department of Information Technology, Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah, 21589, Saudi Arabia5. School of Mathematics, Southeast University, Nanjing 210096, P.R. China, and Yonsei Frontier Lab, Yonsei University, Seoul, 03722, South KoreaSeveral bioactivities of chemical compounds in a molecular graph can be expected by using many topological descriptors. A topological descriptor is a numeric quantity which quantify the topology of a graph. By defining the metric on a graph related with a vector space, we consider this graph in the context of few topological descriptors, and quantify the Wiener index, hyper Wiener index, Reciprocal complimentary Wiener index, Schultz molecular topological index and Harary index. We also provide the graphical comparison of our results to describe the relationship and dependence of these descriptors on the involved parameters.http://www.aimspress.com/article/doi/10.3934/math.2021209?viewType=HTMLdistancedistance-based topological descriptorsnon-zero component graph
spellingShingle Fawaz E. Alsaadi
Faisal Ali
Imran Khalid
Masood Ur Rehman
Muhammad Salman
Madini Obad Alassafi
Jinde Cao
Quantifying some distance topological properties of the non-zero component graph
AIMS Mathematics
distance
distance-based topological descriptors
non-zero component graph
title Quantifying some distance topological properties of the non-zero component graph
title_full Quantifying some distance topological properties of the non-zero component graph
title_fullStr Quantifying some distance topological properties of the non-zero component graph
title_full_unstemmed Quantifying some distance topological properties of the non-zero component graph
title_short Quantifying some distance topological properties of the non-zero component graph
title_sort quantifying some distance topological properties of the non zero component graph
topic distance
distance-based topological descriptors
non-zero component graph
url http://www.aimspress.com/article/doi/10.3934/math.2021209?viewType=HTML
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