6 citations · 13 across the 21 of their papers we have counts for
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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…
Genus of commuting graphs of some classes of finite rings
Walaa Nabil Taha Fasfous, Rajat Kanti Nath
In this paper, we compute the genus of commuting graphs of non-commutative rings of order , , and , where and are prime integers. We also characteriz…
Commuting probabilities of -centralizer finite rings
Jutirekha Dutta, Dhiren Kumar Basnet, Rajat Kanti Nath
Let be a finite ring. The commuting probability of , denoted by , is the probability that any two randomly chosen elements of commute. is called an -centr…
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 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 $(…