  In 2007 Matamala proved that if $G$ is a simple graph with maximum degree
$\Delta\geq 3$ not containing $K_{\Delta +1}$ as a subgraph and $s, t$ are
positive integers such that $s+t \geq \Delta$, then the vertex set of $G$
admits a partition $(S,T)$ such that $G[S]$ is a maximum order
$(s-1)$-degenerate subgraph of $G$ and $G[T]$ is a $(t-1)$-degenerate subgraph
of $G$. This result extended earlier results obtained by Borodin, by Bollob\'as
and Manvel, by Catlin, by Gerencs\'{e}r and by Catlin and Lai. In this paper we
prove a hypergraph version of this result and extend it to variable degeneracy
and to partitions into more than two parts, thereby extending a result by
Borodin, Kostochka, and Toft.
