D. Nongsiang

activity

20132024

most citedA note on solvable graphs of finite groups

2 citations · 2 across the 4 of their papers we have counts for

collaborators

6 papers

math.GR2024

Engel and co-Engel graphs of finite groups

Peter J. Cameron, Rishabh Chakraborty, Rajat Kanti Nath +1

Let $G$ be a group. Associate a directed graph $E (G)$ (called the Engel digraph of $G$ ) with $G$ whose vertex set is $G$ , with an arc $(x, y)$ if $[y,_{k} x] = 1$ for some posi…

math.GR2024

Characterization of commuting graphs of finite groups having small genus

Shrabani Das, Deiborlang Nongsiang, Rajat Kanti Nath

In this paper we first show that among all double-toroidal and triple-toroidal finite graphs only $K_{8} ⊔ 9 K_{1}$ , $K_{8} ⊔ 5 K_{2}$ , $K_{8} ⊔ 3 K_{4}$ , $K_{8} ⊔ 9 K_{3}$ , $K_8\s…

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.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 $…

math.AC2013

On reduced zero-divisor graphs of posets

Ashish Kumar Das, Deiborlang Nongsiang

In this paper we study some of the basic properties of a graph which is constructed from the equivalence classes of non-zero zero-divisors determined by annihilator ideals of a pos…

math.GR2013

On the genus of the commuting graphs of finite non-abelian groups

Ashish Kumar Das, Deiborlang Nongsiang

The commuting graph of a non-abelian group is a simple graph in which the vertices are the non-central elements of the group, and two distinct vertices are adjacent if and only if…