Author

Kavita Samant

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Preprint Aug 2026

On the Generating Graph of Finite Abelian Groups

The generating graph $\Gamma(G)$ of a group $G$ is the graph whose vertex set is $G$, where two distinct vertices are adjacent if and only if they generate $G$. In this paper, we systematically study the structure of generating graphs of finite abelian groups (non-cyclic) and determine the set of all generating pairs....

Kavita Samant, A. Reddy · 0 citations