Certain Energies of Graphs for Dutch Windmill and Double-Wheel Graphs
Energy of a graph is defined as the sum of the absolute values of the eigenvalues of the adjacency matrix associated with the graph. In this research work, we find color energy, distance energy, Laplacian energy, and Seidel energy for the Dutch windmill graph of cycle lengths 4, 5, and 6. Also, we f...
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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/10.1155/2022/4481087 |
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| _version_ | 1832548639768051712 |
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| author | Jing Wu Muhammad Arfan Ali Hafiz Mutee ur Rehman Yan Dou |
| author_facet | Jing Wu Muhammad Arfan Ali Hafiz Mutee ur Rehman Yan Dou |
| author_sort | Jing Wu |
| collection | DOAJ |
| description | Energy of a graph is defined as the sum of the absolute values of the eigenvalues of the adjacency matrix associated with the graph. In this research work, we find color energy, distance energy, Laplacian energy, and Seidel energy for the Dutch windmill graph of cycle lengths 4, 5, and 6. Also, we find the lower bounds of the double-wheel graph for energy, Seidel energy, color energy, distance energy, Laplacian energy, and Harary energy. |
| format | Article |
| id | doaj-art-d5b3d2c1983d4fa099b162b65b2d7a82 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-d5b3d2c1983d4fa099b162b65b2d7a822025-02-03T06:13:29ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/4481087Certain Energies of Graphs for Dutch Windmill and Double-Wheel GraphsJing Wu0Muhammad Arfan Ali1Hafiz Mutee ur Rehman2Yan Dou3School of ScienceVirtual University of PakistanDepartment of MathematicsXinjiang Normal UniversityEnergy of a graph is defined as the sum of the absolute values of the eigenvalues of the adjacency matrix associated with the graph. In this research work, we find color energy, distance energy, Laplacian energy, and Seidel energy for the Dutch windmill graph of cycle lengths 4, 5, and 6. Also, we find the lower bounds of the double-wheel graph for energy, Seidel energy, color energy, distance energy, Laplacian energy, and Harary energy.http://dx.doi.org/10.1155/2022/4481087 |
| spellingShingle | Jing Wu Muhammad Arfan Ali Hafiz Mutee ur Rehman Yan Dou Certain Energies of Graphs for Dutch Windmill and Double-Wheel Graphs Journal of Mathematics |
| title | Certain Energies of Graphs for Dutch Windmill and Double-Wheel Graphs |
| title_full | Certain Energies of Graphs for Dutch Windmill and Double-Wheel Graphs |
| title_fullStr | Certain Energies of Graphs for Dutch Windmill and Double-Wheel Graphs |
| title_full_unstemmed | Certain Energies of Graphs for Dutch Windmill and Double-Wheel Graphs |
| title_short | Certain Energies of Graphs for Dutch Windmill and Double-Wheel Graphs |
| title_sort | certain energies of graphs for dutch windmill and double wheel graphs |
| url | http://dx.doi.org/10.1155/2022/4481087 |
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