Improved bounds for the chromatic index of $k$-uniform hypergraphs

Sarah Frederickson, Yanli Hao, Tom Kelly

In 1997, Alon and Kim conjectured that if $H$ is a $k$-uniform $t$-simple hypergraph with maximum degree $D$ sufficiently large, then the chromatic index ${\chi }^{\prime }(H)$ is upper bounded b…