On Eccentricity-Based Topological Indices Study of a Class of Porphyrin-Cored Dendrimers
It is revealed from the previous studies that there is a strong relation between the chemical characteristic of a chemical compound and its molecular structure. Topological indices defined on the molecular structure of biomolecules can help to gain a better understanding of their physical features a...
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2018-08-01
|
| Series: | Biomolecules |
| Subjects: | |
| Online Access: | http://www.mdpi.com/2218-273X/8/3/71 |
| _version_ | 1819227509682601984 |
|---|---|
| author | Wei Gao Zahid Iqbal Muhammad Ishaq Rabia Sarfraz Muhammad Aamir Adnan Aslam |
| author_facet | Wei Gao Zahid Iqbal Muhammad Ishaq Rabia Sarfraz Muhammad Aamir Adnan Aslam |
| author_sort | Wei Gao |
| collection | DOAJ |
| description | It is revealed from the previous studies that there is a strong relation between the chemical characteristic of a chemical compound and its molecular structure. Topological indices defined on the molecular structure of biomolecules can help to gain a better understanding of their physical features and biological activities. Eccentricity connectivity indices are distance-based molecular structure descriptors that have been used for the mathematical modeling of biological activities of diverse nature. As the porphyrin has photofunctional properties, such as a large absorption cross-section, fluorescence emission, and photosensitizing properties, due to these properties, porphyrin dendrimers can be used as photofunctional nanodevices. In this paper, we compute the exact formulae of different versions of eccentric connectivity index and their corresponding polynomials for a class of porphyrin-cored dendrimers. The results obtained can be used in computer-aided molecular design methods applied to pharmaceutical engineering. |
| first_indexed | 2024-12-23T10:42:31Z |
| format | Article |
| id | doaj.art-cc2fc2737294429da55ca3ba9f91f458 |
| institution | Directory Open Access Journal |
| issn | 2218-273X |
| language | English |
| last_indexed | 2024-12-23T10:42:31Z |
| publishDate | 2018-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Biomolecules |
| spelling | doaj.art-cc2fc2737294429da55ca3ba9f91f4582022-12-21T17:50:07ZengMDPI AGBiomolecules2218-273X2018-08-01837110.3390/biom8030071biom8030071On Eccentricity-Based Topological Indices Study of a Class of Porphyrin-Cored DendrimersWei Gao0Zahid Iqbal1Muhammad Ishaq2Rabia Sarfraz3Muhammad Aamir4Adnan Aslam5School of Information Science and Technology, Yunnan Normal University, Kunming 650500, ChinaSchool of Natural Sciences, National University of Sciences and Technology, Sector H-12, Islamabad 44000, PakistanSchool of Natural Sciences, National University of Sciences and Technology, Sector H-12, Islamabad 44000, PakistanSchool of Natural Sciences, National University of Sciences and Technology, Sector H-12, Islamabad 44000, PakistanFaculty of Physical and Numerical Sciences, Abdul Wali Khan University Mardan, Mardan, PakistanDepartment of Natural Sciences and Humanities, University of Engineering and Technology, Lahore 54000, PakistanIt is revealed from the previous studies that there is a strong relation between the chemical characteristic of a chemical compound and its molecular structure. Topological indices defined on the molecular structure of biomolecules can help to gain a better understanding of their physical features and biological activities. Eccentricity connectivity indices are distance-based molecular structure descriptors that have been used for the mathematical modeling of biological activities of diverse nature. As the porphyrin has photofunctional properties, such as a large absorption cross-section, fluorescence emission, and photosensitizing properties, due to these properties, porphyrin dendrimers can be used as photofunctional nanodevices. In this paper, we compute the exact formulae of different versions of eccentric connectivity index and their corresponding polynomials for a class of porphyrin-cored dendrimers. The results obtained can be used in computer-aided molecular design methods applied to pharmaceutical engineering.http://www.mdpi.com/2218-273X/8/3/71porphyrin-cored dendrimerseccentric connectivity indextotal eccentric connectivity indexaugmented eccentric connectivity index |
| spellingShingle | Wei Gao Zahid Iqbal Muhammad Ishaq Rabia Sarfraz Muhammad Aamir Adnan Aslam On Eccentricity-Based Topological Indices Study of a Class of Porphyrin-Cored Dendrimers Biomolecules porphyrin-cored dendrimers eccentric connectivity index total eccentric connectivity index augmented eccentric connectivity index |
| title | On Eccentricity-Based Topological Indices Study of a Class of Porphyrin-Cored Dendrimers |
| title_full | On Eccentricity-Based Topological Indices Study of a Class of Porphyrin-Cored Dendrimers |
| title_fullStr | On Eccentricity-Based Topological Indices Study of a Class of Porphyrin-Cored Dendrimers |
| title_full_unstemmed | On Eccentricity-Based Topological Indices Study of a Class of Porphyrin-Cored Dendrimers |
| title_short | On Eccentricity-Based Topological Indices Study of a Class of Porphyrin-Cored Dendrimers |
| title_sort | on eccentricity based topological indices study of a class of porphyrin cored dendrimers |
| topic | porphyrin-cored dendrimers eccentric connectivity index total eccentric connectivity index augmented eccentric connectivity index |
| url | http://www.mdpi.com/2218-273X/8/3/71 |
| work_keys_str_mv | AT weigao oneccentricitybasedtopologicalindicesstudyofaclassofporphyrincoreddendrimers AT zahidiqbal oneccentricitybasedtopologicalindicesstudyofaclassofporphyrincoreddendrimers AT muhammadishaq oneccentricitybasedtopologicalindicesstudyofaclassofporphyrincoreddendrimers AT rabiasarfraz oneccentricitybasedtopologicalindicesstudyofaclassofporphyrincoreddendrimers AT muhammadaamir oneccentricitybasedtopologicalindicesstudyofaclassofporphyrincoreddendrimers AT adnanaslam oneccentricitybasedtopologicalindicesstudyofaclassofporphyrincoreddendrimers |