Generating Graphs of Finite Dihedral Groups
| Autor: | Reddy, A. Satyanarayana, Samant, Kavita |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | For a group $G$, the generating graph $\Gamma(G)$ is defined as the graph with the vertex set $G$, and any two distinct vertices of $\Gamma(G)$ are adjacent if they generate $G$. In this paper, we study the generating graph of $D_n,$ where $D_n$ is a Dihedral group of order $2n$. We explore various graph theoretic properties, and determine complete spectrum of the adjacency and the Laplacian matrix of $\Gamma(D_n)$. Moreover, we compute some distance and degree based topological indices of $\Gamma(D_n)$. Comment: 17 pages, accepted for publication in Results in Mathematics |
| Databáze: | arXiv |
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