\magnification=1200 \hsize=4in \nopagenumbers \noindent % % {\bf Alexandr Kostochka} % % \medskip \noindent % % {\bf On a Theorem of Erd\H os, Rubin, and Taylor on Choosability of Complete Bipartite Graphs} % % \vskip 5mm \noindent % % % % Erd\H os, Rubin, and Taylor found a nice correspondence between the minimum order of a complete bipartite graph that is not $r$-choosable and the minimum number of edges in an $r$-uniform hypergraph that is not $2$-colorable (in the ordinary sense). In this note we use their ideas to derive similar correspondences for complete $k$-partite graphs and complete $k$-uniform $k$-partite hypergraphs. \bye .