Forbidden subgraphs of Co-prime graphs of finite groups
| Autor: | Swathi V V, M. S. Sunitha |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Transactions on Combinatorics, Vol 14, Iss 2, Pp 109-116 (2024) |
| Druh dokumentu: | article |
| ISSN: | 2251-8657 2251-8665 |
| DOI: | 10.22108/toc.2024.137172.2055 |
| Popis: | For a finite group $G$ the co-prime graph $\Gamma(G)$ 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. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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