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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Accesso online: | https://arxiv.org/abs/2605.04849 |
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| _version_ | 1866910194458427392 |
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| author | Makadiya, Purva J. Jariya, Mahesh M. Makadiya, Prashant J. |
| author_facet | Makadiya, Purva J. Jariya, Mahesh M. Makadiya, Prashant J. |
| contents | This paper investigates the energy and vertex energy of the modified divisor prime graph $G^*_{Dp}(n)$, which is distinguished from the standard divisor prime graph by the inclusion of a self-loop at the vertex $1$. To facilitate this analysis, we introduce a generalized definition of vertex energy for graphs with self-loops and demonstrate its mathematical consistency. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_04849 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Energy and Vertex Energy of Modified Divisor Prime Graphs Makadiya, Purva J. Jariya, Mahesh M. Makadiya, Prashant J. Combinatorics Number Theory 05C50, 05C76, 11A25 This paper investigates the energy and vertex energy of the modified divisor prime graph $G^*_{Dp}(n)$, which is distinguished from the standard divisor prime graph by the inclusion of a self-loop at the vertex $1$. To facilitate this analysis, we introduce a generalized definition of vertex energy for graphs with self-loops and demonstrate its mathematical consistency. |
| title | Energy and Vertex Energy of Modified Divisor Prime Graphs |
| topic | Combinatorics Number Theory 05C50, 05C76, 11A25 |
| url | https://arxiv.org/abs/2605.04849 |