In the present paper, we continue the investigation of a relation between trees and colorings that was introduced in [1].

In [1], two mappings were defined: a function  assigns to each coloring a tree, and a function  assigns to each tree with an enumeration a coloring. Here we show that the coloring C is not reconstructable from  although the tree T is reconstructable from  under certain restrictions on T and e.

tree in set theory, additive colorings