Jitender Kumar

activity

20232025

most citedStrong Resolving Graphs of Clean Graphs of Commutative Rings

1 citations · 1 across the 8 of their papers we have counts for

collaborators

8 papers

math.CO2025

Sombor Spectrum of Super Graphs defined on groups

Ekta Pachar, Sandeep Dalal, Jitender Kumar

Given a simple graph $A$ on a group $G$ and an equivalence relation $B$ on $G$ , the $B$ super $A$ graph is defined as a simple graph, whose vertex set is $G$ and two vertices $g$ ,…

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

On line upper ideal relation graphs of rings

Mohd Shariq, Praveen Mathil, Jitender Kumar

The upper ideal relation graph $Γ_{U} (R)$ of a commutative ring $R$ with unity is a simple undirected graph with the set of all non-unit elements of $R$ as a vertex set and two ver…

math.CO2024★ 1 cited

Strong Resolving Graphs of Clean Graphs of Commutative Rings

Praveen Mathil, Jitender Kumar

Let $R$ be a ring with unity. The clean graph $Cl (R)$ of a ring $R$ is the simple undirected graph whose vertices are of the form $(e, u)$ , where $e$ is an idempotent element…

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.RA2024

Upper ideal relation graphs associated to rings

Barkha Baloda, Jitender Kumar

Let $R$ be a ring with unity. The upper ideal relation graph $Γ_{U} (R)$ of the ring $R$ is a simple undirected graph whose vertex set is the set of all non-unit elements of $R$ and t…

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.GR2023

Nilpotent groups whose Difference graphs have positive genus

Jitender Kumar Parveen

The power graph of a finite group $G$ is a simple undirected graph with vertex set $G$ and two vertices are adjacent if one is a power of the other. The enhanced power graph of a f…