20 citations · 33 across the 7 of their papers we have counts for
4 papers · 1 filter
Chordality of Enhanced Power Graphs of Finite Simple Groups: A Resolution of a Conjecture
Pallabi Manna
The \emph{enhanced power graph} $\PE(G)$ of a finite group has vertex set , two elements being adjacent if and only if they generate a cyclic subgroup. We determine the fini…
On finite groups whose power graph is claw-free
Pallabi Manna, Santanu Mandal, Andrea Lucchini
A graph is called claw-free if it contains no induced subgraph isomorphic to the complete bipartite graph . The undirected power graph of a group has vertices the ele…
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…
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…