Computing the Energy and Estrada Index of Different Molecular Structures
Graph energy is an invariant that is derived from the spectrum of the adjacency matrix of a graph. Graph energy is actually the absolute sum of all the eigenvalues of the adjacency matrix of a graph i.e. E=∑i=1nλi, and the Estrada index of a graph G is elaborated as EEG=∑i=1neλi, where, λ1,λ2,…,λn a...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Chemistry |
| Online Access: | http://dx.doi.org/10.1155/2022/6227093 |
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| author | Zeeshan Saleem Mufti Rukhshanda Anjum Qin Xin Fairouz Tchier Iram Anwar-ul-Haq Yaé Ulrich Gaba |
| author_facet | Zeeshan Saleem Mufti Rukhshanda Anjum Qin Xin Fairouz Tchier Iram Anwar-ul-Haq Yaé Ulrich Gaba |
| author_sort | Zeeshan Saleem Mufti |
| collection | DOAJ |
| description | Graph energy is an invariant that is derived from the spectrum of the adjacency matrix of a graph. Graph energy is actually the absolute sum of all the eigenvalues of the adjacency matrix of a graph i.e. E=∑i=1nλi, and the Estrada index of a graph G is elaborated as EEG=∑i=1neλi, where, λ1,λ2,…,λn are the eigenvalues of the adjacency matrix of a graph. In this paper, energy EG and Estrada index EEG of different molecular structures are obtained and also established inequalities among the exact and estimated values of energies and Estrada index of TUC4C8 nanosheet and naphthalene. |
| format | Article |
| id | doaj-art-9c5c9e63cd334053ad7f6897d7e4beb1 |
| institution | Kabale University |
| issn | 2090-9071 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Chemistry |
| spelling | doaj-art-9c5c9e63cd334053ad7f6897d7e4beb12025-02-03T05:53:08ZengWileyJournal of Chemistry2090-90712022-01-01202210.1155/2022/6227093Computing the Energy and Estrada Index of Different Molecular StructuresZeeshan Saleem Mufti0Rukhshanda Anjum1Qin Xin2Fairouz Tchier3Iram Anwar-ul-Haq4Yaé Ulrich Gaba5Department of Mathematics and StatisticsDepartment of Mathematics and StatisticsFaculty of Science and TechnologyDepartment of MathematicsDepartment of Mathematics and StatisticsQuantum Leap Africa (QLA)Graph energy is an invariant that is derived from the spectrum of the adjacency matrix of a graph. Graph energy is actually the absolute sum of all the eigenvalues of the adjacency matrix of a graph i.e. E=∑i=1nλi, and the Estrada index of a graph G is elaborated as EEG=∑i=1neλi, where, λ1,λ2,…,λn are the eigenvalues of the adjacency matrix of a graph. In this paper, energy EG and Estrada index EEG of different molecular structures are obtained and also established inequalities among the exact and estimated values of energies and Estrada index of TUC4C8 nanosheet and naphthalene.http://dx.doi.org/10.1155/2022/6227093 |
| spellingShingle | Zeeshan Saleem Mufti Rukhshanda Anjum Qin Xin Fairouz Tchier Iram Anwar-ul-Haq Yaé Ulrich Gaba Computing the Energy and Estrada Index of Different Molecular Structures Journal of Chemistry |
| title | Computing the Energy and Estrada Index of Different Molecular Structures |
| title_full | Computing the Energy and Estrada Index of Different Molecular Structures |
| title_fullStr | Computing the Energy and Estrada Index of Different Molecular Structures |
| title_full_unstemmed | Computing the Energy and Estrada Index of Different Molecular Structures |
| title_short | Computing the Energy and Estrada Index of Different Molecular Structures |
| title_sort | computing the energy and estrada index of different molecular structures |
| url | http://dx.doi.org/10.1155/2022/6227093 |
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