4 citations · 11 across the 13 of their papers we have counts for
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On the spectrum of linear dependence graph of finite dimensional vector spaces
A. K. Bhuniya, Sushobhan Maity
In this paper, we introduce a graph structure called linear dependence graph of a finite dimensional vector space over a finite field. Some basic properties of the graph like conne…
On the power graph of the direct product of two groups
A. K. Bhuniya, Sajal Kumar Mukherjee
The power graph of a finite group is the graph with vertex set and two distinct vertices are adjacent if either of them is a power of the other. Here we show that th…
An elementary proof of a conjecture on graph-automorphism
Sajal Kumar Mukherjee, A. K. Bhuniya
In this article, we give an elementary combinatorial proof of a conjecture about the determination of automorphism group of the power graph of finite cyclic groups, proposed by Doo…
On some properties of enhanced power graph
Sudip Bera, A. K. Bhuniya
Given a group , the enhanced power graph of denoted by , is the graph with vertex set and two distinct vertices are edge connected in $\mathcal{…
Normal Subgroup Based Power Graph of a finite Group
A. K. Bhuniya, Sudip Bera
For a finite group with a normal subgroup , the normal subgroup based power graph of , denoted by whose vertex set and tw…
On the power graphs which are Cayley graphs of some groups
S. Mukherjee, A. K. Bhuniya
In 2013, Jemal Abawajy, Andrei Kelarev and Morshed Chowdhury [1] proposed a problem to characterize the finite groups whose power graphs are Cayley graphs of some groups. Here we g…
On some characterizations of strong power graphs of finite groups
A. K. Bhuniya, S. Bera
Let be a finite group of order . The strong power graph of is the undirected graph whose vertices are the elements of such that two distinct v…