On Topological Indices of Fractal and Cayley Tree Type Dendrimers
The topological descriptors are the numerical invariants associated with a chemical graph and are helpful in predicting their bioactivity and physiochemical properties. These descriptors are studied and used in mathematical chemistry, medicines, and drugs designs and in other areas of applied scienc...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2018/2684984 |
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| _version_ | 1832556131675799552 |
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| author | Muhammad Imran Abdul Qudair Baig Waqas Khalid |
| author_facet | Muhammad Imran Abdul Qudair Baig Waqas Khalid |
| author_sort | Muhammad Imran |
| collection | DOAJ |
| description | The topological descriptors are the numerical invariants associated with a chemical graph and are helpful in predicting their bioactivity and physiochemical properties. These descriptors are studied and used in mathematical chemistry, medicines, and drugs designs and in other areas of applied sciences. In this paper, we study the two chemical trees, namely, the fractal tree and Cayley tree. We also compute their topological indices based on degree concept. These indices include atom bond connectivity index, geometric arithmetic index and their fourth and fifth versions, Sanskruti index, augmented Zagreb index, first and second Zagreb indices, and general Randic index for α={-1,1,1/2,-1/2}. Furthermore, we give closed analytical results of these indices for fractal trees and Cayley trees. |
| format | Article |
| id | doaj-art-07daf99369b84c09962f1f4c5e16d066 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-07daf99369b84c09962f1f4c5e16d0662025-02-03T05:46:16ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/26849842684984On Topological Indices of Fractal and Cayley Tree Type DendrimersMuhammad Imran0Abdul Qudair Baig1Waqas Khalid2Department of Mathematical Sciences, United Arab Emirates University, P.O. Box 15551, Al Ain, UAEDepartment of Mathematics, University of Lahore, Pakpattan Campus, PakistanDepartment of Mathematics, COMSATS Institute of Information Technology, Attock Campus, PakistanThe topological descriptors are the numerical invariants associated with a chemical graph and are helpful in predicting their bioactivity and physiochemical properties. These descriptors are studied and used in mathematical chemistry, medicines, and drugs designs and in other areas of applied sciences. In this paper, we study the two chemical trees, namely, the fractal tree and Cayley tree. We also compute their topological indices based on degree concept. These indices include atom bond connectivity index, geometric arithmetic index and their fourth and fifth versions, Sanskruti index, augmented Zagreb index, first and second Zagreb indices, and general Randic index for α={-1,1,1/2,-1/2}. Furthermore, we give closed analytical results of these indices for fractal trees and Cayley trees.http://dx.doi.org/10.1155/2018/2684984 |
| spellingShingle | Muhammad Imran Abdul Qudair Baig Waqas Khalid On Topological Indices of Fractal and Cayley Tree Type Dendrimers Discrete Dynamics in Nature and Society |
| title | On Topological Indices of Fractal and Cayley Tree Type Dendrimers |
| title_full | On Topological Indices of Fractal and Cayley Tree Type Dendrimers |
| title_fullStr | On Topological Indices of Fractal and Cayley Tree Type Dendrimers |
| title_full_unstemmed | On Topological Indices of Fractal and Cayley Tree Type Dendrimers |
| title_short | On Topological Indices of Fractal and Cayley Tree Type Dendrimers |
| title_sort | on topological indices of fractal and cayley tree type dendrimers |
| url | http://dx.doi.org/10.1155/2018/2684984 |
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