%0 Journal Article
%T Size of components of a cube coloring
%A Marsel Matdinov
%J Mathematics
%D 2011
%I arXiv
%X Suppose a d-dimensional lattice cube of size n^d is colored in several colors so that no face of its triangulation (subdivision of the standard partition into n^d small cubes) is colored in m+2 colors. Then one color is used at least f(d,m)*n^(d-m) times.
%U http://arxiv.org/abs/1111.3911v1