The Minimal (Edge) Connectivity of Some Graphs of Finite Groups
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909407741214720 |
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| author | Malviy, Siddharth Kakkar, Vipul |
| author_facet | Malviy, Siddharth Kakkar, Vipul |
| contents | In this paper, we classify all the finite groups $G$ such that the commuting graph $Γ_C(G)$, order-sum graph $Γ_{OS}(G)$ and non-inverse graph $Γ_{NI}(G)$ are minimally edge connected graphs. We also classify all the finite groups $G$ for that, these graphs are minimally connected. We also classify some groups for that the co-prime graph $Γ_{CP}(G)$ has minimal edge connectedness. In final part, we classify all the finite groups $G$ for that co-prime graph $Γ_{CP}(G)$ is minimally connected. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_18930 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Minimal (Edge) Connectivity of Some Graphs of Finite Groups Malviy, Siddharth Kakkar, Vipul Combinatorics In this paper, we classify all the finite groups $G$ such that the commuting graph $Γ_C(G)$, order-sum graph $Γ_{OS}(G)$ and non-inverse graph $Γ_{NI}(G)$ are minimally edge connected graphs. We also classify all the finite groups $G$ for that, these graphs are minimally connected. We also classify some groups for that the co-prime graph $Γ_{CP}(G)$ has minimal edge connectedness. In final part, we classify all the finite groups $G$ for that co-prime graph $Γ_{CP}(G)$ is minimally connected. |
| title | The Minimal (Edge) Connectivity of Some Graphs of Finite Groups |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2411.18930 |