Parveen

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20212026

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4 papers · 1 filter

math.CO2024

Laplacian Spectrum of Super Graphs defined on Certain Non-abelian Groups

Varun J Kaushik, Ekta, Parveen +1

Given a graph $A$ on a group $G$ and an equivalence relation $B$ on $G$ , the $B$ super $A$ graph, whose vertex set is $G$ and two vertices $g$ , $h$ are adjacent if and only if there…

math.CO2024

Genus and crosscap of Normal subgroup based power graphs of finite groups

Parveen, Manisha, Jitender Kumar

Let $H$ be a normal subgroup of a group $G$ . The normal subgroup based power graph $Γ_{H} (G)$ of $G$ is the simple undirected graph with vertex set $V(Γ_H(G))= (G\setminus H)\cup \{e…

math.CO2023

Line graph characterization of the order supergraph of a finite group

Manisha, Parveen, Jitender Kumar

The power graph $P (G)$ 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…

math.CO2023

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…