On neighborhoods in the enhanced power graph associated with a finite group
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916374540976128 |
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| author | Lewis, Mark L. Monetta, Carmine |
| author_facet | Lewis, Mark L. Monetta, Carmine |
| contents | This article investigates neighborhoods' sizes in the enhanced power graph (as known as the cyclic graph) associated with a finite group. In particular, we characterize finite $p$-groups with the smallest maximum size for neighborhoods of nontrivial element in its enhanced power graph. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_16545 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On neighborhoods in the enhanced power graph associated with a finite group Lewis, Mark L. Monetta, Carmine Group Theory 20D10, 05C25, 20D60 This article investigates neighborhoods' sizes in the enhanced power graph (as known as the cyclic graph) associated with a finite group. In particular, we characterize finite $p$-groups with the smallest maximum size for neighborhoods of nontrivial element in its enhanced power graph. |
| title | On neighborhoods in the enhanced power graph associated with a finite group |
| topic | Group Theory 20D10, 05C25, 20D60 |
| url | https://arxiv.org/abs/2408.16545 |