This analysis characterizes connected components in power graphs of transformation semigroups, suggesting conditions for semigroups and planarity.
In this paper we characterize completely the connected components of the power graph of the full transformation semigroup TX on a finite set X and provide the necessary and sufficient conditions for which the connected component is a semigroup. We also demonstrate that the power graphX of T is planar if and only if |X| ? 4.
No takes yet. Share an insight, caveat, or question.
Zeng et al. (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: