Further study of eccentricity based indices for benzenoid hourglass network
Topological Indices are the mathematical estimate related to atomic graph that corresponds biological structure with several real properties and chemical activities. These indices are invariant of graph under graph isomorphism. If top(h1) and top(h2) denotes topological index h1 and h2 respectively...
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| Format: | Article |
| Language: | English |
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Elsevier
2023-06-01
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| Series: | Heliyon |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844023041634 |
| _version_ | 1827924362985996288 |
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| author | Hifza Iqbal Muhammad Haroon Aftab Ali Akgul Zeeshan Saleem Mufti Iram Yaqoob Mustafa Bayram Muhammad Bilal Riaz |
| author_facet | Hifza Iqbal Muhammad Haroon Aftab Ali Akgul Zeeshan Saleem Mufti Iram Yaqoob Mustafa Bayram Muhammad Bilal Riaz |
| author_sort | Hifza Iqbal |
| collection | DOAJ |
| description | Topological Indices are the mathematical estimate related to atomic graph that corresponds biological structure with several real properties and chemical activities. These indices are invariant of graph under graph isomorphism. If top(h1) and top(h2) denotes topological index h1 and h2 respectively then h1 approximately equal h2 which implies that top(h1) = top(h2). In biochemistry, chemical science, nano-medicine, biotechnology and many other science's distance based and eccentricity-connectivity(EC) based topological invariants of a network are beneficial in the study of structure-property relationships and structure-activity relationships. These indices help the chemist and pharmacist to overcome the shortage of laboratory and equipment. In this paper we calculate the formulas of eccentricity-connectivity descriptor(ECD) and their related polynomials, total eccentricity-connectivity(TEC) polynomial, augmented eccentricity-connectivity(AEC) descriptor and further the modified eccentricity-connectivity(MEC) descriptor with their related polynomials for hourglass benzenoid network. |
| first_indexed | 2024-03-13T05:11:52Z |
| format | Article |
| id | doaj.art-42c74117047a40bc9feff5706adbb338 |
| institution | Directory Open Access Journal |
| issn | 2405-8440 |
| language | English |
| last_indexed | 2024-03-13T05:11:52Z |
| publishDate | 2023-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj.art-42c74117047a40bc9feff5706adbb3382023-06-16T05:10:19ZengElsevierHeliyon2405-84402023-06-0196e16956Further study of eccentricity based indices for benzenoid hourglass networkHifza Iqbal0Muhammad Haroon Aftab1Ali Akgul2Zeeshan Saleem Mufti3Iram Yaqoob4Mustafa Bayram5Muhammad Bilal Riaz6Department of Mathematics and Statistics, The University of Lahore, Lahore, 54500, PakistanDepartment of Mathematics and Statistics, The University of Lahore, Lahore, 54500, PakistanDepartment of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon; Siirt University, Art and Science Faculty, Department of Mathematics, 56100, Siirt, Turkey; Near East University, Mathematics Research Center, Department of Mathematics, Near East Boulevard, PC: 99138, Nicosia, Mersin, 10, TurkeyDepartment of Mathematics and Statistics, The University of Lahore, Lahore, 54500, PakistanDepartment of Mathematics and Statistics, The University of Lahore, Lahore, 54500, PakistanDepartment of Computer Engineering, Biruni University, 34010, Topkapı, Istanbul, TurkeyFaculty of Applied Physics and Mathematics, Gdansk University of Technology, Poland; Department of Computer Science and Mathematics, Lebanese American University, Byblos, Lebanon; Department of Mathematics, University of Management and Technology, Pakistan; Corresponding author. Faculty of Applied Physics and Mathematics, Gdansk University of Technology, Poland.Topological Indices are the mathematical estimate related to atomic graph that corresponds biological structure with several real properties and chemical activities. These indices are invariant of graph under graph isomorphism. If top(h1) and top(h2) denotes topological index h1 and h2 respectively then h1 approximately equal h2 which implies that top(h1) = top(h2). In biochemistry, chemical science, nano-medicine, biotechnology and many other science's distance based and eccentricity-connectivity(EC) based topological invariants of a network are beneficial in the study of structure-property relationships and structure-activity relationships. These indices help the chemist and pharmacist to overcome the shortage of laboratory and equipment. In this paper we calculate the formulas of eccentricity-connectivity descriptor(ECD) and their related polynomials, total eccentricity-connectivity(TEC) polynomial, augmented eccentricity-connectivity(AEC) descriptor and further the modified eccentricity-connectivity(MEC) descriptor with their related polynomials for hourglass benzenoid network.http://www.sciencedirect.com/science/article/pii/S2405844023041634HourglassPolynomialBiological graphNaphthaleneStructure-propertyStructure-activity |
| spellingShingle | Hifza Iqbal Muhammad Haroon Aftab Ali Akgul Zeeshan Saleem Mufti Iram Yaqoob Mustafa Bayram Muhammad Bilal Riaz Further study of eccentricity based indices for benzenoid hourglass network Heliyon Hourglass Polynomial Biological graph Naphthalene Structure-property Structure-activity |
| title | Further study of eccentricity based indices for benzenoid hourglass network |
| title_full | Further study of eccentricity based indices for benzenoid hourglass network |
| title_fullStr | Further study of eccentricity based indices for benzenoid hourglass network |
| title_full_unstemmed | Further study of eccentricity based indices for benzenoid hourglass network |
| title_short | Further study of eccentricity based indices for benzenoid hourglass network |
| title_sort | further study of eccentricity based indices for benzenoid hourglass network |
| topic | Hourglass Polynomial Biological graph Naphthalene Structure-property Structure-activity |
| url | http://www.sciencedirect.com/science/article/pii/S2405844023041634 |
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