Solvable graphs of finite groups

P Bhowal, D Nongsiang, R Nath - Hacettepe Journal of Mathematics …, 2020 - dergipark.org.tr
Let $ G $ be a finite non-solvable group with solvable radical $ Sol (G) $. The solvable graph
$\Gamma_s (G) $ of $ G $ is a graph with vertex set $ G\setminus Sol (G) $ and two distinct …

Non-solvable graphs of groups

P Bhowal, D Nongsiang, RK Nath - Bulletin of the Malaysian Mathematical …, 2022 - Springer
Let G be a group, and Sol (G)={x∈ G:⟨ x, y⟩ is solvable for all y∈ G}. We associate a graph
NS G (called the non-solvable graph of G) with G whose vertex set is G\Sol (G) and two …

A note on solvable graphs of finite groups

P Bhowal, D Nongsiang, RK Nath - arXiv preprint arXiv:1903.01755, 2019 - arxiv.org
Let $ G $ be a finite non-solvable group with solvable radical $ Sol (G) $. The solvable graph
$\Gamma_s (G) $ of $ G $ is a graph with vertex set $ G\setminus Sol (G) $ and two distinct …

Certain graphs on finite groups and their properties

P Bhowal - 2023 - agnee.tezu.ernet.in
Let G be a finite non-abelian group with centre Z (G). The commuting graph of G, denoted by
C (G), is a simple undirected graph whose vertex set is G\Z (G) and two distinct vertices x …