12 citations · 42 across the 47 of their papers we have counts for
6 papers · 1 filter
On commuting probability of finite rings II
Parama Dutta, Rajat Kanti Nath
The aim of this paper is to study the probability that the commutator of an arbitrarily chosen pair of elements, each from two different subrings of a finite non-commutative ring e…
On super integral groups
Jutirekha Dutta, Rajat Kanti Nath
A finite non-abelian group is called super integral if the spectrum, Laplacian spectrum and signless Laplacian spectrum of its commuting graph contain only integers. In this pa…
On Generalized Commutator
Sunil Kumar Prajapati, Rajat Kanti Nath
In this paper, we consider some generalized commutator equations in a finite group and show that the number of solutions of such equations are characters of that group. We also obt…
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…
Finite groups whose commuting graphs are integral
Jutirekha Dutta, Rajat Kanti Nath
A finite non-abelian group is called commuting integral if the commuting graph of is integral. In this paper, we show that a finite group is commuting integral if its centr…
On generalized non-commuting graph of a finite ring
Jutirekha Dutta, Dhiren Kumar Basnet, Rajat Kanti Nath
Let be two subrings of a finite ring . Then the generalized non-commuting graph of subrings of , denoted by , is a simple graph whose vertex set is $(…