Some new results on the Seidel energy of graphs with self-loops
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911408353968128 |
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| author | Popat, Kalpesh M. Jovanovic, Irena M. |
| author_facet | Popat, Kalpesh M. Jovanovic, Irena M. |
| contents | Harshitha et al. recently introduced Seidel energy of graphs with self loops. In this paper, we extend some of their results by giving a necessary and sufficient condition for the Seidel energy of a looped graph to be equal to the Seidel energy of its underlying graph. We also consider Seidel energy of the union of certain graphs, and show that graph operations complement and Seidel switching preserve Seidel energy in the looped setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_22165 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Some new results on the Seidel energy of graphs with self-loops Popat, Kalpesh M. Jovanovic, Irena M. General Mathematics 05C50, 05C76 Harshitha et al. recently introduced Seidel energy of graphs with self loops. In this paper, we extend some of their results by giving a necessary and sufficient condition for the Seidel energy of a looped graph to be equal to the Seidel energy of its underlying graph. We also consider Seidel energy of the union of certain graphs, and show that graph operations complement and Seidel switching preserve Seidel energy in the looped setting. |
| title | Some new results on the Seidel energy of graphs with self-loops |
| topic | General Mathematics 05C50, 05C76 |
| url | https://arxiv.org/abs/2601.22165 |