Forbidden Subgraphs of co-prime Graphs of finite Groups
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866929593919733760 |
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| author | V V, Swathi Sunitha, M S |
| author_facet | V V, Swathi Sunitha, M S |
| contents | For a finite group $G$ the co-prime graph $Γ(G)$ is defined as a graph with vertex set $G$ in which two distinct vertices $x$ and $y$ are adjacent if and only if $gcd(o(x),o(y))=1$ where $o(x)$ and $o(y)$ denote the orders of the elements $x$ and $y$ respectively. In this paper we find properties of groups whose co-prime graphs forbid graphs such as $C_4,K_{1,3},P_4$ and asteroidal triples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_10422 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Forbidden Subgraphs of co-prime Graphs of finite Groups V V, Swathi Sunitha, M S Group Theory Combinatorics For a finite group $G$ the co-prime graph $Γ(G)$ is defined as a graph with vertex set $G$ in which two distinct vertices $x$ and $y$ are adjacent if and only if $gcd(o(x),o(y))=1$ where $o(x)$ and $o(y)$ denote the orders of the elements $x$ and $y$ respectively. In this paper we find properties of groups whose co-prime graphs forbid graphs such as $C_4,K_{1,3},P_4$ and asteroidal triples. |
| title | Forbidden Subgraphs of co-prime Graphs of finite Groups |
| topic | Group Theory Combinatorics |
| url | https://arxiv.org/abs/2301.10422 |