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math.GR2021
Characterizing finite nilpotent groups associated with a graph theoretic equality
Ramesh Prasad Panda, Kamal Lochan Patra, Binod Kumar Sahoo
The power graph of a group is the simple graph whose vertices are the group elements and two vertices are adjacent whenever one of them is a positive power of the other. We charact…
math.GR2020
On the enhanced power graph of a group
Ramesh Prasad Panda, Sandeep dalal, Jitender Kumar
The enhanced power graph of a group is a graph with vertex set and two vertices are adjacent if they belong to the same cyclic subgroup. In this paper, w…