Author

Aditya Singh

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Preprint Aug 2026

Characterisations of finite groups with exponent $q$ via their power graphs

The power graph $P(G)$ of a finite group $G$ is the graph with vertex set $G$ and edge set $E(P(G))=\{uv:\ u,v \in G,\ u \neq v,\ u \in \langle v \rangle \ \text{or}\ v \in \langle u \rangle\},$ where $\langle x\rangle$ denotes the cyclic subgroup generated by $x$. In this paper, we characterise all the finite groups w...

Aditya Singh, Anmol chugh, Y. Singh et al. · 0 citations

Preprint Aug 2026

Spectral Properties of Power Graphs of Metacyclic Groups

For a group $\Omega$, the associated power graph $P(\Omega)$ is defined as the graph whose vertices are the elements of $\Omega$, with two distinct vertices $u,v\in \Omega$ being adjacent if either $u=v^m$ or $v=u^n$ for some $m,n \in \mathbb{N}$. In this paper, we completely characterise the structure of the power gra...

Aditya Singh, Y. Singh, A. K. Tiwari · 0 citations