On Randic, Seidel, and Laplacian Energy of NEPS Graph
Let Z be the simple graph; then, we can obtain the energy EZ of a graph Z by taking the absolute sum of the eigenvalues of the adjacency matrix of Z. In this research, we have computed different energy invariants of the noncompleted extended P-Sum (NEPS) of graph Zi. In particular, we investigate th...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/6553359 |
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| author | Kun Han S. Ahmad Syed Ajaz K. Kirmani M. K. Siddiqui Y. Ali E. Bashier |
| author_facet | Kun Han S. Ahmad Syed Ajaz K. Kirmani M. K. Siddiqui Y. Ali E. Bashier |
| author_sort | Kun Han |
| collection | DOAJ |
| description | Let Z be the simple graph; then, we can obtain the energy EZ of a graph Z by taking the absolute sum of the eigenvalues of the adjacency matrix of Z. In this research, we have computed different energy invariants of the noncompleted extended P-Sum (NEPS) of graph Zi. In particular, we investigate the Randic, Seidel, and Laplacian energies of the NEPS of path graph Pni with any base ℬ. Here, n denotes the number of vertices and i denotes the number of copies of path graph Pn. Some of the results depend on the number of zeroes in base elements, for which we use the notation j. |
| format | Article |
| id | doaj-art-028b9778b4d54bc3b239afc8e3708cd6 |
| institution | OA Journals |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-028b9778b4d54bc3b239afc8e3708cd62025-08-20T02:03:27ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/6553359On Randic, Seidel, and Laplacian Energy of NEPS GraphKun Han0S. Ahmad1Syed Ajaz K. Kirmani2M. K. Siddiqui3Y. Ali4E. Bashier5School of ManagementDepartment of MathematicsDepartment of Electrical EngineeringDepartment of MathematicsDepartment of MathematicsDepartment of Applied MathematicsLet Z be the simple graph; then, we can obtain the energy EZ of a graph Z by taking the absolute sum of the eigenvalues of the adjacency matrix of Z. In this research, we have computed different energy invariants of the noncompleted extended P-Sum (NEPS) of graph Zi. In particular, we investigate the Randic, Seidel, and Laplacian energies of the NEPS of path graph Pni with any base ℬ. Here, n denotes the number of vertices and i denotes the number of copies of path graph Pn. Some of the results depend on the number of zeroes in base elements, for which we use the notation j.http://dx.doi.org/10.1155/2022/6553359 |
| spellingShingle | Kun Han S. Ahmad Syed Ajaz K. Kirmani M. K. Siddiqui Y. Ali E. Bashier On Randic, Seidel, and Laplacian Energy of NEPS Graph Journal of Mathematics |
| title | On Randic, Seidel, and Laplacian Energy of NEPS Graph |
| title_full | On Randic, Seidel, and Laplacian Energy of NEPS Graph |
| title_fullStr | On Randic, Seidel, and Laplacian Energy of NEPS Graph |
| title_full_unstemmed | On Randic, Seidel, and Laplacian Energy of NEPS Graph |
| title_short | On Randic, Seidel, and Laplacian Energy of NEPS Graph |
| title_sort | on randic seidel and laplacian energy of neps graph |
| url | http://dx.doi.org/10.1155/2022/6553359 |
| work_keys_str_mv | AT kunhan onrandicseidelandlaplacianenergyofnepsgraph AT sahmad onrandicseidelandlaplacianenergyofnepsgraph AT syedajazkkirmani onrandicseidelandlaplacianenergyofnepsgraph AT mksiddiqui onrandicseidelandlaplacianenergyofnepsgraph AT yali onrandicseidelandlaplacianenergyofnepsgraph AT ebashier onrandicseidelandlaplacianenergyofnepsgraph |