@article{M21constructionuniquelycolourable, title = {A construction of uniquely colourable graphs}, author = {Mohr, Samuel}, note = {to appear.}, archivePrefix = {arXiv}, eprint = {2001.08801}, year = {2021}, journal = {Discrete Applied Mathematics}, biburl = {http://samuel-mohr.de/files/bib/11.bib}, abstract = {A uniquely {$k$}-colourable graph is a graph with exactly one partition of the vertex set into {$k$} colour classes. Here, we investigate some constructions of uniquely {$k$}-colourable graphs and give a construction of {$K_k$}-free uniquely {$k$}-colourable graphs with equal colour class sizes. } }