  A relational structure is indivisible if for every partition of its set of
elements into two parts there exists an embedding of the structure into one of
the parts of the partition. A relational structure is homogeneous if every
embedding of a finite induced substructure to a finite induced substructure
extends to an automorphism. This article establishes a necessary and sufficient
condition for Henson type, see [4], homogeneous structures to be indivisible.
