J. Dutta

most citedOn non-commuting graph of a finite ring

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

collaborators

7 papers

math.RA2017

Relative non-commuting graph of a finite ring

Jutirekha Dutta, Dhiren Kumar Basnet

Let $S$ be a subring of a finite ring $R$ and $C_{R} (S) = {r \in R : r s = sr \forall s \in S}$ . The relative non-commuting graph of the subring $S$ in $R$ , denoted by $Γ_{S, R}…

math.GR2017

Laplacian Spectrum of non-commuting graphs of finite groups

Parama Dutta, Jutirekha Dutta, Rajat Kanti Nath

In this paper, we compute the Laplacian spectrum of non-commuting graphs of some classes of finite non-abelian groups. Our computations reveal that the non-commuting graphs of all…

math.RA2017★ 1 cited

On non-commuting graph of a finite ring

J. Dutta, D. K. Basnet

The non-commuting graph $Γ_{R}$ of a finite ring $R$ with center $Z (R)$ is a simple undirected graph whose vertex set is $R ∖ Z (R)$ and two distinct vertices $a$ and $b$ are…

math.RA2017

Some bounds for commuting probability of finite rings

Jutirekha Dutta, Dhiren Kumar Basnet

Let $R$ be a finite ring. The commuting probability of $R$ is the probability that any two randomly chosen elements of $R$ commute. In this paper, we obtain some bounds for commuti…

math.GR2016

Spectrum of commuting graphs of some classes of finite groups

Jutirekha Dutta, Rajat Kanti Nath

In this paper, we initiate the study of spectrum of the commuting graphs of finite non-abelian groups. We first compute the spectrum of this graph for several classes of finite gro…

math.GR2016

Finite groups whose commuting graphs are integral

Jutirekha Dutta, Rajat Kanti Nath

A finite non-abelian group $G$ is called commuting integral if the commuting graph of $G$ is integral. In this paper, we show that a finite group is commuting integral if its centr…