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On the power graph of the direct product of two groups
A. K. Bhuniya, Sajal Kumar Mukherjee
The power graph of a finite group is the graph with vertex set and two distinct vertices are adjacent if either of them is a power of the other. Here we show that th…
An elementary proof of a conjecture on graph-automorphism
Sajal Kumar Mukherjee, A. K. Bhuniya
In this article, we give an elementary combinatorial proof of a conjecture about the determination of automorphism group of the power graph of finite cyclic groups, proposed by Doo…
On some properties of enhanced power graph
Sudip Bera, A. K. Bhuniya
Given a group , the enhanced power graph of denoted by , is the graph with vertex set and two distinct vertices are edge connected in $\mathcal{…
Normal Subgroup Based Power Graph of a finite Group
A. K. Bhuniya, Sudip Bera
For a finite group with a normal subgroup , the normal subgroup based power graph of , denoted by whose vertex set and tw…