Size of components of a cube coloring

Details Size of components of a cube coloring Size of components of a cube coloring

2011-11-16

arxiv.org/abs/1111.3911v1

Mathematics

Combinatorics

Scientific paper

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.

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