For stacked simplicial complexes, (special subclasses of such are: trees, triangulations of polygons, stacked polytopes with their triangulations), we give an explicit bijection between partitions of facets (for trees: edges), and partitions of vertices into independent sets. More generally, we give bijections between facet partitions whose parts have minimal distance $$\ge s$$
≥
s
and vertex partitions whose parts have minimal distance $$\ge s+1$$
≥
s
+
1
.