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11 papers
Metric Dimension of Difference Graph of Finite Groups
Manisha, Parveen, Jitender Kumar
The Difference graph of a finite group is the difference of the enhanced power graph and the power graph with all the iso…
Laplacian Spectrum of Super Graphs defined on Certain Non-abelian Groups
Varun J Kaushik, Ekta, Parveen +1
Given a graph on a group and an equivalence relation on , the super graph, whose vertex set is and two vertices , are adjacent if and only if there…
Genus and crosscap of Normal subgroup based power graphs of finite groups
Parveen, Manisha, Jitender Kumar
Let be a normal subgroup of a group . The normal subgroup based power graph of is the simple undirected graph with vertex set $V(Γ_H(G))= (G\setminus H)\cup \{e…
Line graph characterization of the order supergraph of a finite group
Manisha, Parveen, Jitender Kumar
The power graph is the simple undirected graph with group elements as a vertex set and two elements are adjacent if one of them is a power of the other. The order…
On Finite groups whose power graphs are line graphs
Parveen, Jitender Kumar
S. Bera (Line graph characterization of power graphs of finite nilpotent groups, \textit{Communication in Algebra}, 50(11), 4652-4668, 2022) characterized finite nilpotent groups w…
Nilpotent groups whose Difference graphs have positive genus
Jitender Kumar Parveen
The power graph of a finite group is a simple undirected graph with vertex set and two vertices are adjacent if one is a power of the other. The enhanced power graph of a f…
On the Difference Graph of power graphs of finite groups
Parveen, Jitender Kumar, Ramesh Prasad Panda
The power graph of a finite group is a simple undirected graph with vertex set and two vertices are adjacent if one is a power of the other. The enhanced power graph of a f…
Lambda Number of the enhanced power graph of a finite group
Parveen, Sandeep Dalal, Jitender Kumar
The enhanced power graph of a finite group is the simple undirected graph whose vertex set is and two distinct vertices are adjacent if …
Certain properties of the enhanced power graph associated with a finite group
Parveen, Jitender Kumar, Siddharth Singh +1
The enhanced power graph of a finite group , denoted by , is the simple undirected graph whose vertex set is and two distinct vertices are adjacent…
The complement of enhanced power graph of a finite group
Parveen, Jitender Kumar
The enhanced power graph of a finite group is the simple undirected graph whose vertex set is and two distinct vertices are adjacent if $x, y \in…
Enhanced Power Graph of Certain Non-abelian Groups
Parveen, Sandeep Dalal, Jitender Kumar
The enhanced power graph of a group is a simple undirected graph with vertex set and two vertices are adjacent if they belong to same cyclic subgroup. In this paper, we stu…