J. Dutta

activity

20152026

most citedFinite groups whose commuting graphs are integral

12 citations · 23 across the 11 of their papers we have counts for

collaborators

13 papers

math.RA2026

Minimum second neighborhood degree energy of commuting graphs of finite rings

Payal Tak, Jutirekha Dutta, Rajat Kanti Nath

In this paper, we compute minimum second neighborhood degree spectrum and energy of commuting graphs of certain finite non-commutative rings. In particular, we consider non-commuta…

math.RA2018

Commuting probabilities of $n$ -centralizer finite rings

Jutirekha Dutta, Dhiren Kumar Basnet, Rajat Kanti Nath

Let $R$ be a finite ring. The commuting probability of $R$ , denoted by $Pr (R)$ , is the probability that any two randomly chosen elements of $R$ commute. $R$ is called an $n$ -centr…

math.RA2017★ 1 cited

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