activity
20152026
most citedLine graph characterization of power graphs of finite nilpotent groups

7 citations · 17 across the 14 of their papers we have counts for

collaborators

17 papers

math.CO2026

On graphs with equal domination and total domination numbers

Sudip Bera

For a graph without isolated vertices, . While graphs attaining have been studied extensively, a complete structural description in the sm…

math.CO2026

On the finite group whose proper enhanced power graph is claw-free

Sudip Bera, Andrea Lucchini

Let be a finite group. The \emph{enhanced power graph} of , denoted by , is the graph with vertex set in which two vertices and are adjacent if a…

math.CO2025

On the difference of the intersection power graph and the power graph of a finite group

Sudip Bera, Peter J. Cameron

The difference graph D(G) of a finite group G is the graph obtained by taking the (edge) difference of the intersection power graph and the power graph of G, and subsequently remov…

math.CO2024

On the strong domination number of proper enhanced power graphs of finite groups

Sudip Bera

The enhanced power graph of a group G is a graph with vertex set G, where two distinct vertices x and y are adjacent if and only if there exists an element w in G such that both x…

math.CO2024

An exact enumeration of vertex connectivity of the enhanced power graphs of finite nilpotent groups

Sudip Bera, Hiranya Kishore Dey

The enhanced power graph of a group is a graph with vertex set where two distinct vertices and are adjacent if and only if there exists an element in such…

math.CO2022

A matrix for counting paths in acyclic colored digraphs

Sudip Bera

In this paper, we introduce a matrix associate with a -colored acyclic digraph such that enumerates the paths in the digraph…