Answers are grounded in this paper and cite their sources.
Research on an algebraic structure represented in graph theory opens the way for new research in recent years. Several types of new graphs continue to be developed, such as coprime and non-coprime graphs. This article will represent the quaternion group in several graphs, such as coprime graphs, non-coprime graphs, commuting graphs, non-commuting graphs, and identity graphs. We obtained several theorems about unique graphs. One of the results is that non-coprime graphs from the quaternion group are complete and regular graphs.
No takes yet. Share an insight, caveat, or question.
Syarifudin et al. (2021) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: