Postscript: “Endomorphism spectra of graphs” [Discrete Mathematics 109 (1992) 45–57]

We answer some questions about the existence of graphs with a given endotype posed in Böttcher and Knauer (Discrete Math. 109 (1992) 45–57). All definitions and needed terminology can be found there and for brevity they will not be repeated here. All results have been obtained by computer calculations.