Partitioning $2$-coloured complete $k$-uniform hypergraphs into monochromatic $\ell$-cycles

Sebastian Bustamante, Maya Stein

We show that for all $\ell ,k,n$ with $\ell \le k/2$ and $(k-\ell )$ dividing $n$ the following hypergraph-variant of Lehel's conjecture is true. Every $2$-edge-colouring of the $…