D. Nongsiang

most citedA note on solvable graphs of finite groups

2 citations · 2 across the 1 of their papers we have counts for

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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 $…