Approximate Multipartite Version of the Hajnal--Szemerédi Theorem

Bela Csaba

Let $q$ be a positve integer, and $G$ be a $q$-partite simple graph on $qn$ vertices, with $n$ vertices in each vertex class. Let $\delta =\frac{k_q}{k_q+1}$, where $k_q=q+O(\log q)$. I…