Is parallel k-way refinement algorithm a coloring-based method in ParMetis?

I am reading the paper about ParMetis, that is "Parallel Multilevel k-Way Partitioning Scheme for Irregular Graphs". It presents that graph coloring is used to eliminate unnecessary vertex movement during the k-way re refinement,but I find that only two subphases are needed for one complete kwayfm from kwayrefine.c of parmetis 4.0.3 release. It seems that the parallel k-way refinement algorithm in ParMetis is not a coloring-based method, is it? Is there another paper which introduces the lastest release of ParMetis?
Thank you!