R. K. Nath

activity

20102026

most citedFinite groups whose commuting graphs are integral

12 citations · 42 across the 47 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.GR2019

Non-solvable graphs of groups

Parthajit Bhowal, Deiborlang Nongsiang, Rajat Kanti Nath

Let $G$ be a group and $S o l (G) = {x \in G : ⟨ x, y ⟩ is solvable for all y \in G}$ . We associate a graph $N S_{G}$ (called the non-solvable graph of $G$ )…

math.RA2019

On r-noncommuting graph of finite rings

Rajat Kanti Nath, Monalisha Sharma, Parama Dutta +1

Let $R$ be a finite ring and $r \in R$ . The $r$ -noncommuting graph of $R$ , denoted by $Γ_{R}^{r}$ , is a simple undirected graph whose vertex set is $R$ and two vertices $x$ and $y$ are…

math.GR2019★ 2 cited

A note on solvable graphs of finite groups

Parthajit Bhowal, Deiborlang Nongsiang, Rajat Kanti Nath

Let $G$ be a finite non-solvable group with solvable radical $S o l (G)$ . The solvable graph $Γ_{s} (G)$ of $G$ is a graph with vertex set $G ∖ S o l (G)$ and two distinct vertices $…