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math.GR2022
On chordality of the power graph of finite groups
Pallabi Manna, Ranjit Mehatari
A graph is called chordal if it forbids induced cycles of length 4 or more. In this paper, we attempt to identify the non-nilpotent groups whose power graph is a chordal graph (thi…
math.GR2021★ 13 cited
On finite groups whose power graph is a cograph
Peter J. Cameron, Pallabi Manna, Ranjit Mehatari
A -free graph is called a cograph. In this paper we partially characterize finite groups whose power graph is a cograph. As we will see, this problem is a generalization of th…