6 citations · 9 across the 8 of their papers we have counts for
11 papers
On r-noncommuting graph of finite rings
Rajat Kanti Nath, Monalisha Sharma, Parama Dutta +1
Let be a finite ring and . The -noncommuting graph of , denoted by , is a simple undirected graph whose vertex set is and two vertices and are…
On Deficient Perfect Numbers with Four Distinct Prime Factors
Parama Dutta, Manjil P. Saikia
For a positive integer , if denotes the sum of the positive divisors of , then is called a deficient perfect number if for some positive divisor of…
On relative commuting probability of finite rings
Parama Dutta, Rajat Kanti Nath
In this paper we study the probability that the commutator of a randomly chosen pair of elements, one from a subring of a finite ring and other from the ring itself equals to a giv…
On generalized commuting probability of finite rings
Parama Dutta, Rajat Kanti Nath
Let be a finite ring and . The aim of this paper is to study the probability that the commutator of a randomly chosen pair of elements of equals .
On relative autocommutativity degree of a subgroup of a finite group
Parama Dutta, Rajat Kanti Nath
In this paper, we consider the probability that a randomly chosen automorphism of a finite group fixes a randomly chosen element of a subgroup of that group. We obtain several new…
On Laplacian energy of non-commuting graphs of finite groups
Parama Dutta, Rajat Kanti Nath
In this paper, we compute Laplacian energy of the non-commuting graphs of some classes of finite non-abelian groups.