activity
20202025
most citedLambda Number of the enhanced power graph of a finite group

1 citations · 2 across the 9 of their papers we have counts for

collaborators

10 papers

math.CO2025

Sombor Spectrum of Super Graphs defined on groups

Ekta Pachar, Sandeep Dalal, Jitender Kumar

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

math.GR2022

On the super graphs and reduced super graphs of some finite groups

Sandeep Dalal, Sanjay Mukherjee, Kamal Lochan Patra

For a finite group , let be an equivalence (equality, conjugacy or order) relation on and let be a (power, enhanced power or commuting) graph with vertex set . Th…

math.GR2022★ 1 cited

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 …

math.GR2021

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…

math.GR2021★ 1 cited

On The Enhanced Power Graph of a Semigroup

Sandeep Dalal, Jitender Kumar, Siddharth Singh

The enhanced power graph of a semigroup is a simple graph whose vertex set is and two vertices are adjacent if and only if $x, y \in \langle z…

math.GR2021

The cyclic graph of a semigroup

Sandeep Dalal, Jitender Kumar, Siddharth Singh

The cyclic graph of a semigroup is the simple graph whose vertex set is and two vertices are adjacent if the subsemigroup generated by and is monogeni…

math.GR2020

On the commuting graphs of Brandt semigroups

Jitender Kumar, Sandeep Dalal, Pranav Pandey

The commuting graph of a finite non-commutative semigroup S, denoted by Δ(S), is the simple graph whose vertices are the non-central elements of S and two distinct vertices x; y ar…

math.GR2020

On The Commuting Graph of Semidihedral Group

Jitender Kumar, Sandeep Dalal, Vedant Baghel

The commuting graph of a finite non-abelian group is a simple graph with vertex set and two distinct vertices are adjacent if . In this paper, among…

math.GR2020

Equality of various graphs on finite semigroups

Sandeep Dalal, Jitender Kumar

In this paper, we consider various graphs, namely: power graph, cyclic graph, enhanced power graph and commuting graph, on a finite semigroup . For an arbitrary pair of these fo…

math.GR2020

On the enhanced power graph of a group

Ramesh Prasad Panda, Sandeep dalal, Jitender Kumar

The enhanced power graph of a group is a graph with vertex set and two vertices are adjacent if they belong to the same cyclic subgroup. In this paper, w…